Commemorazione di Carlo Cercignani
La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana (2011)
- Volume: 4, Issue: 2, page 275-303
- ISSN: 1972-7356
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topLampis, Maria. "Commemorazione di Carlo Cercignani." La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana 4.2 (2011): 275-303. <http://eudml.org/doc/290800>.
@article{Lampis2011,
author = {Lampis, Maria},
journal = {La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana},
language = {ita},
month = {8},
number = {2},
pages = {275-303},
publisher = {Unione Matematica Italiana},
title = {Commemorazione di Carlo Cercignani},
url = {http://eudml.org/doc/290800},
volume = {4},
year = {2011},
}
TY - JOUR
AU - Lampis, Maria
TI - Commemorazione di Carlo Cercignani
JO - La Matematica nella Società e nella Cultura. Rivista dell'Unione Matematica Italiana
DA - 2011/8//
PB - Unione Matematica Italiana
VL - 4
IS - 2
SP - 275
EP - 303
LA - ita
UR - http://eudml.org/doc/290800
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References
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- BASSANINI, P., CERCIGNANI, C., SERNAGIOTTO, F. and TIRONI, G., ``Scattering of waves by a medium with strong fluctuations of refractive index''. Radio Science2, 1 (1967).
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- CERCIGNANI, C., ``Stokes paradox in kinetic theory'', Phys. Fluids11, 303 (1968). Zbl0155.55503
- CERCIGNANI, C. and TIRONI, G., ``New boundary conditions in the transition regime'', J. Plasma Phys.2, 293 (1968).
- CERCIGNANI, C., FORESTI, P. and SERNAGIOTTO, F., ``Dependence of the slip coefficient on the form of the collision frequency'', Nuovo Cimento, X, 57B, 297 (1968).
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- CERCIGNANI, C. and TIRONI, G., ``Some applications to the transition regime of a new set of boundary conditions for Navier-Stokes equations'', in ``Rarefied Gas Dynamics'', L. Trilling and H. Y. Wachman, Vol I, 281, Academic Press, New York (1969).
- CERCIGNANI, C., ``Boundary value problems in linearized kinetic theory'' in ``Transport Theory'', G. Birkhoff ed., SIAM-AMS Proceedings, I, 249, AMS, Providence (1969). Zbl0181.28504MR255203
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- CERCIGNANI, C., ``Knudsen layers; some problems and a solution technique'', in ``Rarefied Gas Dynamics'', J. L. Potter, ed., Part II, 795, AIAA, New York (1977).
- CERCIGNANI, C., ``Analytical solution of the temperature jump problem for the BGK model'', Transp. Th. Stat. Phys.6, 29 (1977). Zbl0376.76055MR475524DOI10.1080/00411457708247949
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- CERCIGNANI, C. and LAMPIS, M., ``Wall induced polarization in plane Couette flow of a polyatomic gas in the Knudsen regime'', Physica99A, 305 (1979).
- CERCIGNANI, C., ``Esistenza e unicità della funzione di distribuzione per un gas di Knudsen tra due lastre parallele'', Riv. Mat. Univ. Parma5, 363 (1979). Zbl0428.76060MR584216
- CERCIGNANI, C., ``A nonlinear criticality problem in the kinetic theory of gases'', in ``Mathematical Problems in the Kinetic Theory of Gases'', D. C. Pack and H. Neunzert, eds., 129, P. Lang, Frankfurt (1980). Zbl0458.76055MR713617
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- CERCIGNANI, C. and LAMPIS, M., ``Polarization of a polyatomic gas due to gas-surface interaction'', in ``Rarefied Gas Dynamics'', S. S. Fisher ed., Part I, 109, AIAA, New York (1981).
- CERCIGNANI, C., ``Strong evaporation of a polyatomic gas'', in ``Rarefied Gas Dynamics'', S. S. Fisher ed., Part I, 305, AIAA, New York (1981).
- CERCIGNANI, C., ``Methods of solution of the Boltzmann equation for rarefied gases'', in ``Rarefied Gas Flows. Theory and Experiment'', W. Fiszdon ed., 3, Springer, Wien (1981).
- CERCIGNANI, C. and LAMPIS, M., ``On the H-theorem for polyatomic gases'', J. Stat. Phys.26, 795 (1981). MR648996DOI10.1007/BF01010940
- CERCIGNANI, C. and SIEWERT, C. E., ``On partial indices for a matrix Riemann-Hilbert problem'', J. Appl. Math. Phys. (ZAMP) 33, 297 (1981). Zbl0483.76090MR661044DOI10.1007/BF00944979
- CERCIGNANI, C., ``Polarization creep in polyatomic gas'', Physica115A, 143 (1982).
- CERCIGNANI, C. and PROTOPOPESCU, V., ``The spectral decomposition for a class of linear transport operators'', J. Stat. Phys.29, 363 (1982). Zbl0512.47021MR684956DOI10.1007/BF01020792
- CERCIGNANI, C., GEPPERT, L. and LAMPIS, M., ``Computation of the polarization creep tensor'', Physica121A, 531 (1983). MR2765733
- BATTARRA, V. and CERCIGNANI, C., ``One-dimensional unsteady flows of solid-liquid suspensions'', Meccanica17, 67 (1982). Zbl0523.76086
- AOKI, K. and CERCIGNANI, C., ``Evaporation and condensation on two parallel plates at finite Reynolds numbers'', Phys. Fluids26, 1163 (1983). MR788537
- CERCIGNANI, C., ``Speed of propagation of infinitesimal disturbances in a relativistic gas'', Phys. Rev. Lett.50, 1122 (1983). MR700073DOI10.1103/PhysRevLett.50.1122
- CERCIGNANI, C., ``The Grad limit for a system of soft spheres'', Comm. Pure Appl. Math.36, 479 (1983). Zbl0505.76088MR709645DOI10.1002/cpa.3160360406
- CERCIGNANI, C., ``H-theorem and trend to equilibrium in the kinetic theory of gases'', Arch. Mech.34, 231 (1982). Zbl0538.76068MR715658
- CERCIGNANI, C., ``Solution of the Boltzmann equation'', in ``Nonequilibrium phenomena I. The Boltzmann equation'', J. L. Lebowitz and E. W. Montroll, eds., North Holland, Amsterdam (1983). MR724621
- AOKI, K. and CERCIGNANI, C., ``A technique for time-dependent boundary value problems in the kinetic theory of gases. Part I. Basic analysis'', J. App. Math. Phys. (ZAMP) 35, 127 (1984). Zbl0545.76078MR756400DOI10.1007/BF00947927
- AOKI, K. and CERCIGNANI, C., ``A technique for time-dependent boundary value problems in the kinetic theory of gases. Part II. application to sound propagation'', J. App. Math. Phys. (ZAMP) 35, 345 (1984). Zbl0565.76077MR758787DOI10.1007/BF00944883
- CERCIGNANI, C. and MAJORANA, A., ``Propagation of infinitesimal disturbances in a gas according to a relativistic model'', Meccanica, 19, 175 (1984). Zbl0562.76122MR767047DOI10.1007/BF01743729
- AOKI, K. and CERCIGNANI, C., ``On the matrix Riemann-Hilbert problem relevant to Rayleigh scattering'', J. App. Math. Phys. (ZAMP) 36, 61 (1985). MR785927DOI10.1007/BF00949033
- CERCIGNANI, C. and LAMPIS, M., ``Variational approach to rarefied gas flows in an external force field with an application to the gas centrifuge'', in ``Rarefied Gas Dynamics'', H. Oguchi ed., Vol. I, 89, University of Tokyo Press, Tokyo (1984).
- CERCIGNANI, C., GALGANI, L., MONTALDI, E. and SIRTORI, M., ``Quantization à la Nernst for the plane rotator'', Lett. Nuovo Cimento40, 235 (1984).
- CERCIGNANI, C., ``Boltzmann Equation and Rarefied Gas Dynamics'' in ``Recent Advances in the Aerospace Sciences'', C. Casci Ed., p. 75Plenum Publishing Corporation New York (1986). MR1007992DOI10.1007/978-1-4612-1039-9
- CERCIGNANI, C., ``Sur des critéres d'existence globale en théorie cinétique discrète'' C.R. Acad. Sc. Paris301, Série I, no. 3, 89 (1985). Zbl0622.76080MR799476
- CERCIGNANI, C., ``Collision Models in Classical and Relativistic Kinetic Theory'' Nuovo Cimento87A, 96 (1985).
- CERCIGNANI, C. and MAJORANA, A. ``Analysis of thermal sound and shear waves according to a relativistic kinetic model'' Phys. Fluids28, 1673 (1985). Zbl0603.76128MR811431DOI10.1007/BF00960381
- CERCIGNANI, C. and MAJORANA, A. ``Analysis of thermal and shear waves according to BGK kinetic model'', ZAMP36, 699 (1985). Zbl0573.76068MR811431DOI10.1007/BF00960381
- CERCIGNANI, C., FISZDON, W. and FREZZOTTI, A. ``The paradox of the inverted tempera- ture profiles between an evaporating and a condensing surface'', Phys. Fluids28, 3237 (1985).
- CERCIGNANI, C. and LAMPIS, M. ``A new boundary phenomenon in kinetic theory'' in ``Rarefied Gas Dynamics'' Vol. I. p. 830, M. Belotserkovski, M. N. Kogan, S. S. Kutateladze and A. K. Rebrov eds., Plenum Press, New York (1985).
- CERCIGNANI, C. ``Recenti sviluppi nella teoria cinetica relativistica'' in ``atti del VI Convegno Nazionale di Relatività Generale e Fisica della Gravitazione'' a cura di R. Fabbri e M. Modugno, p. 83, PitagoraBologna (1986).
- CERCIGNANI, C., ``Mathematical Problems in the Kinetic Theory of Gases'' in ``Mathematical Models and Methods in Mechanics'' Banach Center Publications, Vol. 15, p. 97, PWN Polish Scientific Publishers, Warsaw (1985). Zbl0668.76084MR874843
- CERCIGNANI, C., ``Methods in the Kinetic Theory of Gases Relevant to Nuclear Dynamics'' in ``Phase Space Approach to Nuclear Dynamics'', M. Di Toro, W. Nrenberg, M. Rosina and S. Stringari Eds., p. 153, World Scientific Publishing Co., Singapore (1986).
- CERCIGNANI, C., ``Solutions of a Linearized Kinetic Model for an Ultrarelativistic Gas'', Jour. Stat. Phys.42, 601-620(1986). MR833033DOI10.1007/BF01127731
- CERCIGNANI, C., ``Half-space problems in the Kinetic Theory of Gases'' in ``Trends in Applications of Pure Mathematics to Mechanics'', E. Krner and K. Kirchgssner Eds., Springer, Berlin (1986). Zbl0594.76068MR851798DOI10.1007/BFb0016381
- CERCIGNANI, C., ``Kinetic Theory of a Dense Gas of Rough Spheres'' J. Non Equilib. Thermodyn.11, 145 (1986). Zbl0607.76075
- CERCIGNANI, C., FREZZOTTI, A. and LAMPIS, M. ``High Mach Number Flow of a Rarefied Gas Past an Almost Speculaly Reflecting Plate'' Transp. Theory Stat. Phys.15, 973 (1986). Zbl0623.76081
- CERCIGNANI, C. and LAMPIS, M. ``Kinetic Theory Analysis of the Scott Effect'' in ``Rarefied Gas Dynamics'', V. BOFFI and C. CERCIGNANI, Eds., Vol. I, p. 336, B.G. Teubner, Stuttgart (1986). Zbl0623.76087MR1079940
- KREMER, G. M. and CERCIGNANI, C., ``Wave Propagation in a Rarefied Gas of Rough Spheres'' in ``Rarefied Gas Dynamics'', V. BOFFI and C. CERCIGNANI, Eds., Vol. I, p. 110, B.G. Teubner, Stuttgart (1986). Zbl0614.76080
- CERCIGNANI, C. and SHINBROT, M., ``Global Existence for Some Discrete Velocity Models'', Comm. in PDE12, 307-314 (1987). Zbl0619.35070MR882959DOI10.1080/03605308708820494
- CERCIGNANI, C. and PALCZEWSKI, A.,``Existence and Uniqueness for Nonlinear Boundary Value Problem'', J. Stat. Phys.46, 273 (1987). Zbl0681.76076MR887249DOI10.1007/BF01010346
- CERCIGNANI, C., ``Existence of Global Solutions for the Space Inhomogeneous Enskog Equation'', Transp. Theory Stat. Phys., 16, 213 (1987). Zbl0629.76083MR898479DOI10.1080/00411458708204660
- CERCIGNANI, C., ``Global existence for a Model Boltzmann Equation'', J. Stat. Phys.49, 1083 (1987). Zbl0960.82513MR935486DOI10.1007/BF01017561
- CERCIGNANI, C., ILLNER, R. and SHINBROT, M., ``A Boundary Value Problem for Discrete Velocity Models'', Duke Math. J.51, 889-900 (1987). Zbl0647.76050MR916126DOI10.1215/S0012-7094-87-05543-8
- CERCIGNANI, C., ILLNER, R. and SHINBROT, M., ``A Boundary Value Problem for the Two Dimensional Broadwell Model'', Comm. Math. Phys.114687-698 (1988). Zbl0668.76091MR929135
- CERCIGNANI, C. and MAJORANA, A., ``Structure of shock waves in relativistic simple gases'', Phys. Fluids31, 1064 (1988). Zbl0643.76133
- CERCIGNANI, C., LAMPIS, M., SGARRA, C., `` Stability near Equilibrium of the Solution of the Homogeneous Boltzmann Equation in the Case of Maxwellian Molecules'', Meccanica23, 15 (1988). Zbl0667.76119MR980181DOI10.1007/BF01561005
- CERCIGNANI, C., ``Small Data Existence for the Enskog equation in ``, J. Stat. Phys.51, 291 (1988). Zbl1086.82540MR952757DOI10.1007/BF01015332
- CERCIGNANI, C., `` Problemi di evoluzione e stazionari nella teoria cinetica dei gas'', Boll. U.M.I.(7) 21A, 319 (1988).
- CERCIGNANI, C., SGARRA, C. and LAMPIS, M. ``On the Relation between the Scattering Kernel and the Standard Formulation of the Boltzmann Equation'', Il Nuovo Cimento101B, 523 (1988). Zbl0667.76119MR972421DOI10.1007/BF02748956
- CERCIGNANI, C., ``Nonlinear Problems in the Kinetic Theory of Gases'' in ``Trends in Applications of Mathematics to Mechanics'', J. F. Besseling and W. Eckhaus Eds., Springer, Berlin (1988). MR976905
- CERCIGNANI, C. and LAMPIS, M., ``On the Kinetic Theory of a Dense Gas of Rough Spheres'', J. Stat. Phys.53, 655 (1988). Zbl0677.76080MR980153DOI10.1007/BF01014218
- CERCIGNANI, C., ILLNER, R., PULVIRENTI, M. and SHINBROT, M., ``On Nonlinear Stationary Half-Space Problems in Discrete Kinetic Theory'' J. Stat. Phys.52, 885-896 (1988). Zbl1084.82561MR968962DOI10.1007/BF01019733
- CERCIGNANI, C., ``Existence of Homoenergetic Affine Flows for the Boltzmann Equation'', Arch. Rat. Mech. Anal.105, 377 (1989). Zbl0697.76089MR973248DOI10.1007/BF00281497
- CERCIGNANI, C., ``Recent Results in The Kinetic Theory of Gases'' Rend. Sem. Mat. Univers. Politecn. Torino, Fascicolo Speciale ``Hyperbolic Equations'', 47 (1988). Zbl0679.45007MR1007366
- CERCIGNANI, C., ``Meccanica dei materiali granulari e teoria cinetica dei gas: una notevole analogia'', Atti Sem. Mat. Fis. Univ. ModenaXXXVII, 481 (1989).
- CERCIGNANI, C., ``Discrete models in kinetic theory'' in ``Discrete Kinetic Theory Lattice Gas Dynamics and Foundations of Hydrodynamics'' edited by R. Monaco p.62, World Scientific, Singapore (1989). MR1126710
- CERCIGNANI, C., ``A singular inverse scattering approach to nondispersive hyperbolic systems'' in ``Nonlinear Wave Motion'' edited by A. Jeffrey, Longman Scientific and Technical, Harlow (1989). Zbl0723.58028MR1013422
- CERCIGNANI, C., ``Kinetic Theory with ``Bounce-Back'' Boundary Conditions'', Transp. Theory Stat. Phys.18, 125 (1989). Zbl0675.76081MR1006671DOI10.1080/00411458908214503
- CERCIGNANI, C., ``Onde di piccola ampiezza in teoria cinetica classica e relativistica'' in Atti del III Meeting Waves and Stability in Continuous Media a cura di M. Maiellaro e L. Palese, Bari (1989).
- ARKERYD, L. and CERCIGNANI, C., ``On the Convergence of Solutions of the Enskog Equation to Solutions of the Boltzmann Equation'' Comm. in PDE14, 1071 (1989). Zbl0688.76053MR1017064DOI10.1080/03605308908820644
- CERCIGNANI, C. and LAMPIS, M., ``Variational Calculation of the Slip Coefficient and the Temperature Jump for Arbitrary Gas Surface Interactions'' in ``Rarefied Gas Dynamics: Space Related Studies'', Edited by E.P. Muntz, D.P. Weaver and D. H. Campbell, p. 553AIAAWashington (1989).
- CERCIGNANI, C. and FREZZOTTI, A., ``Numerical Simulation of Supersonic Rarefied Gas Flows Past a Flat Plate: Effects of the Gas Surface Interaction Model on the Flowfield'' in ``Rarefied Gas Dynamics: Theoretical and Computational Techniques'', Edited by E.P. Muntz, D.P. Weaver and D. H. Campbell, p. 552AIAAWashington (1989).
- CERCIGNANI, C., ``Are There More than Five Linearly-independent Collision Invariants for the Boltzmann Equation?'', J. Stat. Phys.58, 817-824 (1990). Zbl0718.60113MR1049048DOI10.1007/BF01026552
- CERCIGNANI, C., ``Equilibrium States and Trend to Equilibrium in a Gas According to the Boltzmann Equation'', Rendiconti di Matematica Serie VII 10, 77-95 (1990). Zbl0723.76079MR1060473
- ARKERYD, L. and CERCIGNANI, C., ``Global Existence in L1 for the Enskog Equation and Convergence of the Solutions to Solutions of the Boltzmann Equation'', J. Stat. Phys.59, 845-867 (1990). Zbl0780.76066MR1063185DOI10.1007/BF01025854
- ARKERYD, L. and CERCIGNANI, C., ``On a functional equation arising in the kinetic theory of gases'', Rend. Mat. Acc. Lincei s. 9, 11, 139-149 (1990). Zbl0703.76062MR1081397
- CERCIGNANI, C., ``Physical problems and rigorous results in kinetic theory'' in ``Applied and Industrial Mathematics'' R. Spigler Ed., 314 Kluwer, Dordrecht (1991). Zbl0719.35072MR1147187
- CERCIGNANI, C., ``Case's method and linearized kinetic theory'' in ``Operator Theory: Advances and Applications'' Vol. 51, W. GREENBERG Ed., p. 719, BirkhuserBasel (1991). Zbl0733.35091MR1120055DOI10.1007/978-3-0348-5675-1_2
- CERCIGNANI, C., ``Mathematics and the Boltzmann Equation'' in ``Rarefied Gas Dynamics'' Edited by A. E. Beylich, p. 3, VCH, Weinheim (1991). Zbl0850.76620
- CERCIGNANI, C. and LAMPIS, M. ``Variational Calculation of the Temperature Jump for a Binary Mixture'' in ``Rarefied Gas Dynamics'' Edited by A. E. Beylich, p. 1379-1384, VCH, Weinheim (1991).
- CERCIGNANI, C. and LANCELLOTTI, C. ``Velocity Slip for Curved Shock Waves'' in ``Rarefied Gas Dynamics'' Edited by A. E. Beylich, p. 153-160, VCH, Weinheim (1991).
- CANNONE, M. and CERCIGNANI, C., ``The inverse conjecture for the revised Enskog equation'', J. Stat. Phys.63, 363-387 (1991). MR1115589DOI10.1007/BF01026610
- CERCIGNANI, C., ``Trend to Equilibrium in a Gas According to the Boltzmann Equation'' in ``Advances in Kinetic Theory and Continuum Mechanics'', R. Gatignol and Soubbaramayer Eds., Springer-VerlagBerlin-Heidelberg (1991). MR1007992DOI10.1007/978-1-4612-1039-9
- CERCIGNANI, C., ``The trend to equilibrium in discrete and continuous kinetic theory: a comparison'' in ``Discrete Models of Fluid Dynamics'' A. S. Alves Ed. 12-21, World Scientific, Singapore (1991). MR1192791
- CERCIGNANI, C., ``Mathematical models in rarefied gas dynamics'' in Surveys on Mathematics for Industry1, 119-143 (1991). Zbl0850.76620MR1133620
- CANNONE, M. and CERCIGNANI, C., ``A Trace Theorem in Kinetic Theory'', Appl. Math. Lett.4, 63-67 (1991). Zbl0744.45005MR1136615DOI10.1016/0893-9659(91)90077-9
- CERCIGNANI, C., ``On the initial-boundary value problem for the Boltzmann equation'', Arch. Rat. Mech. Anal.116, 30-7315 (1991). MR1132764DOI10.1007/BF00375670
- ARKERYD, L., CERCIGNANI, C. and ILLNER, R. ``Measure Solutions of the Steady Boltzmann Equation in a Slab'', Commun. Math. Phys.142, 285-296 (1991). Zbl0733.76063MR1137065
- CERCIGNANI, C., ``Problemi ai valori al contorno in teoria cinetica discreta'', Atti Acc. Peloritana68 Suppl., 277-290 (1991).
- CERCIGNANI, C. and SGARRA, C., ``Half-Range Completeness for the FokkerPlanck Equation with an External Force'', J. Stat. Phys.66, 1575-1582 (1992). Zbl0925.60060MR1156415DOI10.1007/BF01054434
- CERCIGNANI, C., ``L'impercettibile confine tra caso e necessità'' in ``Fluidodinamica Stocastica'', Atti della III Riunione del Gruppo AIMETA di ``Meccanica Stocastica'', 302- 314, CUEN, Napoli (1991).
- CERCIGNANI, C. and SHARIPOV, F., ``Gaseous mixture slit flow at intermediate Knudsen Numbers'', Phys. Fluids A4, 1283-1289 (1992). Zbl0767.76064
- STEFANOV, S. and CERCIGNANI, C., ``Monte Carlo Simulation of Benard's Instability in a Rarefied Gas'', Euro. J. of Mechanics B11543-553 (1992). Zbl0764.76060MR1184227
- CERCIGNANI, C., ``A remarkable inequality for the solutions of the Boltzmann equation'', Appl. Math. Lett.5, 59-62 (1992). Zbl0762.35090MR1345903DOI10.1016/0893-9659(92)90065-H
- CERCIGNANI, C., ``Measure Solutions of the Steady Boltzmann Equation in a Slab'' in ``Probabilistic Methods in Mathematical Physics'' F. Guerra, M. I. Loffredo and C. Marchioro, Eds., 155-165, World Scientific, Singapore (1992). MR1189369
- CERCIGNANI, C., FREZZOTTI, A. and MIGNEMI, B., ``Direct Simulation of Hypersonic Rarefied Flows Past a Delta Wing'', Transp. Th. Stat. Phys.21, 343-356 (1992). Zbl0789.76071
- CERCIGNANI, C. and STEFANOV, S., ``Bénard's instability in Kinetic Theory'', Transp. Th. Stat. Phys.21, 371-381 (1992). Zbl0793.76042
- CERCIGNANI, C., ``On a criterion for the existence of traces in kinetic theory'' in ``Nonsmooth Optimization Methods and Applications'' F. Giannessi ed., Gordon and Breach, Philadelphia (1992). Zbl1050.82543MR1263490
- CERCIGNANI, C., ``Une histoire de la Théorie cinetique des gaz'', La Vie des Sciences9, 275-285 (1992). MR1214858
- CERCIGNANI, C., ``Dinamica dei gas rarefatti: concetti problemi e metodi di calcolo'', Atti Acc. Sci. Torino127, Suppl. 1, 716 (1993).
- CERCIGNANI, C., FREZZOTTI, A. and KOGAN, M. N., ``On the absence of motion in certain nonequilibrium states of gases and vapors in free-molecular regime: general considerations and pipe flow'', Phys. Fluids5, 2551-2556 (1993). Zbl0795.76070MR1240909DOI10.1063/1.858768
- CERCIGNANI, C., ``Exact solutions of the Boltzmann equation'', in ``Modern Group Analysis: Advanced Analytical and Computational Methods in Mathematical Physics'', N. H. Ibragimov et al., eds., p. 125-126, Kluwer, Dordrecht (1993). MR1259547
- CERCIGNANI, C., ``Hyperbolic problems in kinetic theory'', in ``Nonlinear Hyperbolic Problems: Theoretical, Applied and Computational Aspects'', A. Donato and F. Oliveri, Eds. (1993). Zbl0921.35173MR1262356
- STEFANOV, S. and CERCIGNANI, C., ``Monte Carlo simulation of the Taylor-Couette flow of a rarefied gas'', J. Fluid Mech.256, 199-213 (1993). Zbl0785.76068MR1251404DOI10.1017/S0022112093002769
- ARKERYD, L. and CERCIGNANI, C., ``A global existence theorem for the initial boundary value problem for the Boltzmann equation when the boundaries are not isothermal'', Arch. Rat. Mech. Anal.125, 271-288 (1993). Zbl0789.76075MR1245073DOI10.1007/BF00383222
- CERCIGNANI, C., ``On the thermodynamics of a discrete velocity gas'', Transp. Th. Stat. Phys.23, 1-8 (1994). Zbl0811.76078MR1257651DOI10.1080/00411459408203851
- CERCIGNANI, C., ``Resolution of the paradoxes related to the Boltzmann equation in the light of recent mathematical developments'', in ``Proceedings of the International Symposium on Ludwig Boltzmann'', G. Battimelli, M. G. Ianniello and O. Kresten, eds., 203-213, Verlag der österreischen Akademie der Wissenschaften, Wien (1993). MR1700775
- CERCIGNANI, C., ``Turbulence and rarefied gas dynamics'', Acta Mechanica Suppl.4, 39-46 (1994).
- STEFANOV, S. and CERCIGNANI, C., ``Monte Carlo Simulation of a channel flow of a rarefied gas'', Euro. J. of Mechanics B1393-114 (1994). Zbl0799.76065MR1268983
- STEFANOV, S. and CERCIGNANI, C., ``Taylor-Couette flow of a rarefied gas'', in ``Proceedings of the International Symposium on Aerospace and Fluid Science'', p. 490-500, Institute of Fluid Science, Tohoku University, Sendai (1994). MR1251404DOI10.1017/S0022112093002769
- CERCIGNANI, C., ``Methods of the kinetic theory of gases relevant to the kinetic models for semiconductors'', in ``Semiconductors Part II'', W. M. Coughran, Jr., p. 109-121 et al., Springer, New York (1994). Zbl0946.76521
- CERCIGNANI, C. and CORTESE, S., ``Validation of a Monte Carlo Simulation of the Plane Couette Flow of a Rarefied Gas'', J. Stat. Phys.75, 817-838 (1994). Zbl0834.76066
- CERCIGNANI, C., ``An explicitly solvable kinetic model for semiconductors'', J. Stat. Phys.77, 1039-1048 (1994). Zbl0839.76075MR1301930DOI10.1007/BF02183150
- CERCIGNANI, C., ``Mathematical problems in the gas-dynamics of high-altitude flight'', in Applied Mathematics in Aerospace Science and Engineering, 35-47, A. Miele and A. Salvetti, eds., Plenum Press, New York (1994). Zbl0852.76081MR1318696
- CERCIGNANI, C., ``Inverted temperature gradient in a vapor'', in Rarefied Gas Dynamics: Theory and Simulations, B. D. Shizgal and D. P. Weaver, eds., pp. 515-520, AIAA, Washington (1994).
- CERCIGNANI, C., LAMPIS, M. and LENTATI, A., ``Calculation of the slip coefficient for a mixture'', in Rarefied Gas Dynamics: Theory and Simulations, B. D. Shizgal and D. P. Weaver, eds., pp. 565-573, AIAA, Washington (1994).
- CERCIGNANI, C., FREZZOTTI, A. and SIBILLA, S., ``Hypersonic Rarefied Flows DSMC Analysis by a Simplified Chemical Model'', Meccanica, 30, 93-104 (1995).
- CERCIGNANI, C., ``Weak solutions of the Boltzmann equation and energy conservation'', Appl. Math. Lett.8, 53-59 (1995). Zbl0830.35107MR1357252DOI10.1016/0893-9659(95)00011-E
- CERCIGNANI, C., LAMPIS, M. and LENTATI, A., ``Variational calculation of the temperature jump for a polyatomic gas'', in Rarefied Gas Dynamics 19, J. Harvey and G. Lord, eds., Vol. II, pp. 1023-1029, Oxford University Press, Oxford (1995). MR1387598
- CERCIGNANI, C. and STEFANOV, S., ``Vortices and turbulence in hyppersonic rarefied flows'', in Rarefied Gas Dynamics 19, J. Harvey and G. Lord, eds., Vol. II, pp. 1146-1153, Oxford University Press, Oxford (1995). MR1387598
- CERCIGNANI, C., LAMPIS, M. and LENTATI, A., ``On the drag and heat transfer coefficients in free-molecular flow'', in Rarefied Gas Dynamics 19, J. Harvey and G. Lord, eds., Vol. II, pp. 1190-1196, Oxford University Press, Oxford (1995).
- CERCIGNANI, C., ``Existence globale pour un modèle semi-continu de l'équation de Boltzmann'', C.R. Acad. Sci. (Paris), Série I, 321, 125-129 (1995). Zbl0843.76068MR1340096
- CERCIGNANI, C., ``Errata: Weak solutions of the Boltzmann equation and energy conservation'', Appl. Math. Lett.8, 95-99 (1995). Zbl0841.35093MR1356304DOI10.1016/0893-9659(95)00074-Z
- CERCIGNANI, C., FREZZOTTI, A. and SGARRA, C., ``Comments on «Extension of the Mott-Smith method to denser gases» [Phys. Fluids A 4, 1856 (1992)]'', Phys. Fluids A7, 1507- 1509 (1995).
- KOGAN, M. N. and BOBROV, I. N., CERCIGNANI, C. and FREZZOTTI, A., ``Interaction of evaporating and condensing particles in the free-molecular regime'', Phys. Fluids7, 1775-1781 (1995). Zbl1027.76643MR1336102DOI10.1063/1.868492
- CERCIGNANI, C., ``Recent developments in the mechanics of granular materials, in Fisica matematica e ingegneria del le strutture: rapporti e compatibilità, G. Ferrarese, ed., 119-132, Pitagora Editrice, Bologna (1995).
- CERCIGNANI, C., ``Aerodynamical Applications of the Boltzmann Equation'', La Rivista del Nuovo Cimento18, 7, 1-40 (1995). MR1007992DOI10.1007/978-1-4612-1039-9
- LAMPIS, C.CERCIGNANI, M. and LENTATI, A., ``A new scattering kernel in kinetic theory of gases'', Transp. Th. Stat. Phys.24, 1319-1336 (1995). Zbl0874.76076MR1362332DOI10.1080/00411459508206026
- ABBÀ, A., BUCCI, R., CERCIGNANI, C., VALDETTARO, L., ``New variants to the dynamic subgrid model'', in Small scale structures in three-dimensional hydrodynamic and magnetohydrodynamic turbulence, Meneguzzi et al. eds., 231-237, LNP462, Springer, Berlin (1995). Zbl0875.76361
- CERCIGNANI, C., ``On global existence theorems for the initial value problem for the Boltzmann equation'', in Asymptotic modelling in fluid mechanics, P. A. Boisetal. eds., 165-178, LNP442, Springer, Berlin (1995). Zbl0938.76095MR1359296DOI10.1007/3-540-59414-0_65
- CERCIGNANI, C., ``Mathematical problems in rarefied gas dynamics'', in ICIAM 95, K. Kirchgässner et al. eds., 19-38, Akademie Verlag, Berlin (1996). Zbl0848.76080MR1387598
- CERCIGNANI, C. and ILLNER, R., ``Global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions'', Arch. Rational Mech. Anal.134, 1-16 (1996). Zbl0937.45007MR1392307DOI10.1007/BF00376253
- CERCIGNANI, C., ``Trend to equilibrium of global weak solutions of the Boltzmann equation in a slab with diffusive boundary conditions'', Jour. Stat. Phys.84, 875-888 (1996). Zbl1081.82614MR1400189DOI10.1007/BF02179661
- ABBÀ, A., CERCIGNANI, C., VALDETTARO, L. and ZANINI, P., ``LES of thermal convectionand investigation in soft/hard turbulent regimes'', in Computational Fluid Dynamics, J. A. Désidéri et al. eds., 877-883, Wiley, Chichester (1996).
- CERCIGNANI, C., ``Initial-Boundary Value Problems for the Boltzmann equation'', Transp. Th. Stat. Phys.25, 425-436 (1996). Zbl0895.76082MR1407544DOI10.1080/00411459608220711
- CERCIGNANI, C., ``Recent results on the Boltzmann equation'', Rend. Acc. Lincei, 7, 83-112 (1996). Zbl0870.76072MR1438608
- BISCARI, P., CERCIGNANI, C., ``Stress and heat flux in non-inertial reference frames'', Continuum Mech. Thermodyn.9, 1-11 (1997). Zbl0891.76077MR1467121DOI10.1007/s001610050051
- CERCIGNANI, C., ``The Boltzmann equation and high altitude aerodynamics'' in Boltzmann's legacy 150 years after his birth, 25-40, Atti dei Convegni Lincei131, Accademia Nazionale dei Lincei, Roma (1997). Zbl1112.76447MR1800474
- CERCIGNANI, C., ``Instabilities of the solutions of the Boltzmann equation'', Rend. Circolo Mat. Palermo, serie II, 45, 101-110 (1996). MR1461066
- CERCIGNANI, C. and LAMPIS, M., ``New scattering kernel for gas-surface interaction'', AIAA Journal, 35, 1000-1001 (1997). Zbl0892.76076
- TOEPFFER, C. and CERCIGNANI, C., ``Analytical results for the Boltzmnann equation'', Contrib. Plasma Phys., 37, 279-291 (1997).
- CERCIGNANI, C., GAMBA, I. M. and LEVERMORE, C. D., ``High field approximations to a Boltzmann-Poisson System and Boundary Conditions in a Semiconductor'', Appl. Math. Lett.10, n. 4, 111-118 (1997). Zbl0894.76072MR1458163DOI10.1016/S0893-9659(97)00069-4
- CERCIGNANI, C. and LAMPIS, M., ``A new model for the differential cross-section of a polyatomic gas'', in Rarefied Gas Dynamics 19, Ching Shen, ed., pp. 731-736, Peking University Press, Beijing (1997).
- CERCIGNANI, C., ``Temperature, entropy and kinetic theory'', Jour. Stat. Phys.87, 1097-1109 (1997). Zbl0945.82553MR1470644DOI10.1007/BF02181273
- ABB, A.à, C. CERCIGNANI, L. VALDETTARO and P. ZANINI, ``LES of turbulent thermal convection'', in Direct and Large Simulation II, J.-P. Chollet, P.R. Voke and L. Kleiser, eds., 147-156, Kluwer Academic Publishers, Dordrecht (1997).
- CERCIGNANI, C., ``Existence and trend to equilibrium of weak solutions of the Boltzmann equation'', Nonlinear Analysis, 30, 3749-3761 (1997). Zbl0907.35100MR1602934DOI10.1016/S0362-546X(96)00121-6
- CERCIGNANI, C., ``Recent developments in the theory of the Boltzmann equation'', in Recent Advances in Partial Differential Equations, Venice 1996, R. Spigler and S. Venakides, eds., Proceedings of Symposia in Applied Mathematics, Vol. 54, American Mathematical Society, Providence, R.I. (1998). MR1492692DOI10.1090/psapm/054/1492692
- CERCIGNANI, C., MARRA, R. and ESPOSITO, R., ``The Milne problem witha force term'', Transp. Th. Stat. Phys.27, 1-34 (1998). Zbl0899.76319MR1606569DOI10.1080/00411459808205139
- STEFANOV, S. and CERCIGNANI, C., ``Monte Carlo Simulation of the propagation of a disturbance in the channel flow of a rarefied gas'', Computers Math. Applic.3541-53 (1998). Zbl0911.76070MR1605131DOI10.1016/S0898-1221(97)00257-5
- STEFANOV, S., GOSPODINOV, P., CERCIGNANI, C., ``Monte Carlo Simulation and Navier- Stokes Finite Difference Calculation of Unsteady-State Rarefied Gas Flows'', Phys. Fluids10, pp. 289-300, 1998.
- CERCIGNANI, C., LAMPIS, M. and STRUCKMEIER, J., ``New models for the differential cross section of a polyatomic gas in the frame of the scattering kernel theory'', Mech. Res. Comm.25, 231-236 (1998). Zbl0964.76079MR1618164DOI10.1016/S0093-6413(98)00032-9
- BOBYLEV, A. V. and CERCIGNANI, C., ``Discrete velocity models for mixtures'', Jour. Stat. Phys.91, 327-342 (1998). Zbl0917.76075MR1632502DOI10.1023/A:1023052423760
- CERCIGNANI, C., ``Measure solutions of the steady nonlinear Boltzmann equation in a slab'', Commun. Math. Phys.197, 199-210 (1998). Zbl0920.35156MR1646503DOI10.1007/s002200050447
- CERCIGNANI, C., GAMBA, I., JEROME, J.W. and SHU, C.-S.. ``Applicability of the high field model: an analytic study via asymptotic parameters defining domain decomposition'', VLSI Design8, 135-141 (1998). MR1742236DOI10.1016/S0045-7825(99)00186-3
- CERCIGNANI, C., GAMBA, I., JEROME, J.W. and SHU, C.-S.. ``Applicability of the high field model: an preliminary numerical study'', VLSI Design8, 275-282 (1998). MR1742236DOI10.1016/S0045-7825(99)00186-3
- CERCIGNANI, C., ``A first approach to solutions for the steady nonlinear Boltzmann equation'', Suppl. Rend. Circolo Mat. Palermo, serie II, 57, 121-131 (1998). Zbl0944.76078MR1708502
- CERCIGNANI, C. and KREMER, G.M., ``On relativistic collision invariants'', Jour. Stat. Phys.96, 439-445 (1999). Zbl0964.82046MR1706733DOI10.1023/A:1004545104959
- CERCIGNANI, C., FREZZOTTI, A. and GROSFILS, P., ``The structure of an infinitely strong shock wave'', Phys. Fluids11, 2757- 2764 (1999). Zbl1149.76336MR1707822DOI10.1063/1.870134
- BOBYLEV, A. V. and CERCIGNANI, C., ``Discrete velocity models for mixtures'', in Rarefied Gas Dynamics, R. BRUN, R. CAMPARGUE, R. GATIGNOL and J.-C. LENGRANDE, eds., Vol. I, pp. 71-78, Cépaduès éditions, Toulouse (1999).
- STEFANOV, S., ROUSSINOV, V., CERCIGNANI, C., GIURIN, M.C., STRUCKMEIER, J., ``Ray-leigh- Bénard chaotic convection of a rarefied gas'', in Rarefied Gas Dynamics, R. Brun, R. Campargue, R. Gatignol, J.-C. Lengrande, eds., Vol. I, pp. 697-694, Cépaduès éditions, Toulouse (1999).
- CERCIGNANI, C., LAMPIS, M., STRUCKMEIER, J., ``Homogeneous relaxation and shock wave structure for a polyatomic gas'', in Rarefied Gas Dynamics, R. Brun, R. Campargue, R. Gatignol, J.-C. Lengrande, eds., Vol. II, pp. 61-68, Cépaduès éditions, Toulouse (1999).
- CERCIGNANI, C., LAMPIS, M., ``A new model for the boundary conditions of the Boltzmann equation'', Mech. Res. Comm.26, 451-456 (1999). Zbl0978.76080MR1711105DOI10.1016/S0093-6413(99)00048-8
- CERCIGNANI, C., GIURIN, M.C., ``Measure solutions for the steady linear Boltzmann equation in a slab'', Transport Theory Statist. Phys.28521-529 (1999). Zbl0940.35165MR1705622DOI10.1080/00411459908205856
- BOBYLEV, A. V., CERCIGNANI, C., ``On the rate of entropy production for the Boltzmann equation'', J. Statist. Phys.94, 603-618 (1999). Zbl0958.82040MR1675366DOI10.1023/A:1004537522686
- BOBYLEV, A. V. and CERCIGNANI, C., ``Discrete velocity models without nonphysical invariants'', Jour. Stat. Phys.97, 677-686 (1999). Zbl0958.82041MR1736102DOI10.1023/A:1004615309058
- CERCIGNANI, C. and KREMER, G.M., ``Trend to equilibrium of a degenerate relativistic gas'', Jour. Stat. Phys.98, 441-456 (2000). Zbl0958.82042MR1745845DOI10.1023/A:1018695426728
- CERCIGNANI, C., ``Il secondo principio della termodinamica e la meccanica statistica'', Riv. Mat. Univ. Parma, 2*, 117-122 (1999). MR1752794
- CERCIGNANI, C. and CORNILLE, H., ``Shock waves for a discrete velocity mixture'', Jour. Stat. Phys.99, 115-140 (2000). Zbl0972.82072MR1762658DOI10.1023/A:1018692522765
- CERCIGNANI, C., ``Propagation phenomena in classical and relativistic rarefied gases'', Transport Theory Statist. Phys.29607-614 (2000). Zbl1017.82043MR1770447DOI10.1080/00411450008205896
- CERCIGNANI, C., GAMBA, I., JEROME, J. W. and SHU, C.-S., ``A domain decomposition method for silicon devices'', Transport Theory Statist. Phys.29525-536 (2000). Zbl1028.82021
- CERCIGNANI, C., LAMPIS, M. and STRUCKMEIER, J., ``Applications of a new model for the differential cross section of a classical polyatomic gas'', Transport Theory Statist. Phys.29, 355-374 (2000). Zbl0990.82024
- CORNILLE, H. and CERCIGNANI, C., ``A class of planar discrete velocity models for gas mixtures'', Jour. Stat. Phys.99, 967-991 (2000). Zbl0959.82023MR1766903DOI10.1023/A:1018603831215
- TAKATA, S., AOKI, K., CERCIGNANI, C., ``The velocity distribution function in an infinitely strongshockwave'', Phys. Fluids12, 2116-2127 (2000). Zbl1184.76541MR1772464DOI10.1063/1.870457
- BISCARI, P., CERCIGNANI, C., SLEMROD, M., ``Time-derivatives and frame-invariance beyond Newtonian fluids'', C.R. Acad. Sci. (Paris), IIb (Mcanique), 1-6, 328, (2000). Zbl1004.76073
- CERCIGNANI, C. and ILLNER, R., ``Discrete velocity models with general boundary conditions in a slab'', Math. Meth. Appl. Sci.24, 137-141 (2001). Zbl0990.76077MR1810883DOI10.1002/1099-1476(200102)24:3<137::AID-MMA197>3.0.CO;2-H
- CERCIGNANI, C. and KREMER, G.M., ``Moment closure of the relativistic Anderson and Witting model equation'', Physica A290, 192-202 (2001). Zbl0971.82516MR1810262DOI10.1016/S0378-4371(00)00403-9
- CERCIGNANI, C., ``Shear flow of a granular material'', Jour. Stat. Phys.102, 1407-1415 (2001). Zbl0990.82023MR1830452DOI10.1023/A:1004804815471
- CARRILLO, J. A., CERCIGNANI, C. and GAMBA, I. M., ``Steady states of a Boltzmann equation for driven granular media'', Phys. Rev. E.62, part A, 7700-7707 (2000). MR1807180DOI10.1103/PhysRevE.62.7700
- CERCIGNANI, C. and KREMER, G.M., ``Dispersion and absorption of plane harmonic waves in a relativistic gas'', Continuum Mech. Thermodyn.71, 171-182 (2001). Zbl1100.76560MR1857127DOI10.1007/s001610100048
- CERCIGNANI, C. and CORNILLE, H., ``Large Size Planar Discrete Velocity Models for Gas Mixtures'', Jour. Phys. A (Math. Gen.), 34, 2985-2998 (2001). Zbl0995.82512MR1832366DOI10.1088/0305-4470/34/14/306
- CORNILLE, H. and CERCIGNANI, C., ``A class of planar discrete velocity models for gas mixtures'' in Proceedings ``WASCOM 99'' 10th Conference on Waves and Stability in Continuous MediaV. Ciancio, A. Donato, F. Oliveri, S. Rionero, eds. World Scientific, Singapore (2001). Zbl0995.82512MR1867443
- CERCIGNANI, C., ILLNER, R., STOICA, C., ``On Diffusive Equilibria in Generalized Kinetic Theory'', Jour. Stat. Phys.105, 337-352 (2001). Zbl1051.82021MR1861207DOI10.1023/A:1012246513712
- TAKATA, S., AOKI, K., CERCIGNANI, C., ``The velocity distribution function in an infinitely strong shock wave''. RGD22, 2116-2127 (2000). Zbl1184.76541MR1772464DOI10.1063/1.870457
- BOBYLEV, A. V. and CERCIGNANI, C., ``Moment equations for a granular material in a thermal bath'', Jour. Stat. Phys.106, 547-567 (2002). Zbl1001.82092MR1884544DOI10.1023/A:1013754205008
- BOBYLEV, A. V. and CERCIGNANI, C., ``Exact eternal solutions of the Boltzmann equation'', Jour. Stat. Phys.106, 1019-1038 (2002). Zbl1001.82090MR1889600DOI10.1023/A:1014085719973
- BOBYLEV, A. V. and CERCIGNANI, C., ``Self-similar solutions of the Boltzmann equation and their applications'', Jour. Stat. Phys.106, 1039-1071 (2002). Zbl1001.82091MR1889601DOI10.1023/A:1014037804043
- BOBYLEV, A. V. and CERCIGNANI, C., ``Self-similar solutions of the Boltzmann equation for non-Maxwell molecules'', Jour. Stat. Phys.108, 713-718 (2002). Zbl1034.82046MR1914192DOI10.1023/A:1015790226822
- CERCIGNANI, C., ``Il secondo principio della termodinamica e la meccanica statistica'', Nuovi progressi nella fisica matematica dall'eredità di Dario Graffi, Atti dei convegni lincei, 177, 27-32 (2002). MR1719677
- STEFANOV, S., ROUSSINOV, V. and CERCIGNANI, C., ``Rayleigh-Benard Flow of a Rarified Gas and its Attractors. Part 1: Convection regime'', Phys. Fl.14, 2255-2269 (2002). Zbl1185.76355MR1962741DOI10.1063/1.1483837
- STEFANOV, S., ROUSSINOV, V. and CERCIGNANI, C., ``Rayleigh-Benard Flow of a Rarified Gas and its Attractors. Part 2: Chaotic and periodic convective regimes'', Phys. Fl.14, 2270-2288 (2002). Zbl1185.76356MR1962742DOI10.1063/1.1483839
- BOBYLEV, A. V. and CERCIGNANI, C., ``The Inverse Laplace Transform of Some Analytic Functions with an Application to the Eternal Solutions of the Boltzmann Equation,'' Appl. Math. Lett.15, 807-813 (2002). Zbl1025.44002MR1920979DOI10.1016/S0893-9659(02)00046-0
- CERCIGNANI, C., ``The Boltzmann equation approach to the shear flow of a granular material'' (Discrete modelling and simulation of fluid dynamics, Corse, 2001), R. Soc. Lond. Philos. Trans. Ser. A, Math. Phys. Eng. Sci. 360, no. 1792, 407-414. (2002). Zbl1001.76092MR1902781DOI10.1098/rsta.2001.0939
- BOBYLEV, A. V. and CERCIGNANI, C., ``Self-Similar Asymptotics for the Boltzmann Equation with Inelastic and Elastic Interactions'', Journal of Statistical Physics110, 333-375 (2003). Zbl1134.82324MR1966332DOI10.1023/A:1021031031038
- BOBYLEV, A. V., CERCIGNANI, C., TOSCANI, G., ``Proof of an asymptotic property of self-similar solutions of the Boltzmann for granular materials'', Journal of Statistical Physics111, 403-416 (2003). Zbl1119.82318MR1964277DOI10.1023/A:1022273528296
- CERCIGNANI, C., ``Recent results in the kinetic theory of granular materials'', in ``Perspectives and problems in nonlinear science'', E. Kaplan, J. E. Marsden, K. R. Sreenivasan, eds., 217-228, Springer, New York (2003). Zbl1255.76141MR1975432
- CERCIGNANI, C., ``Discrete velocity models for gas mixtures'' in ``Lecture notes on the discretization of the Boltzmann equation'', N. Bellomo and R. Gatignol, eds., 17-28, World Scientific, Singapore (2003). MR1991736DOI10.1142/9789812796905
- CERCIGNANI, C., LAMPIS, M., LORENZANI, S., ``Variational Approach to Plane Poiseuille Flow with General Boundary Conditions'', in ``Rarefied Gas Dynamics'', 23rd Int. Symp., A.D. Ketsdever and E.P. Muntz Eds., AIP Conf. Proc.663, pp. 141-148, New York (2003). Zbl1182.76945
- BOBYLEV, A. V. and CERCIGNANI, C., ``Eternal Solutions of the Boltzmann Equation'', in ``Rarefied Gas Dynamics'', A.D. Ketsdever and E.P. Muntz Eds., AIP Conf. Proc.663, pp. 19-26, New York (2003). Zbl1081.76049MR1889600DOI10.1023/A:1014085719973
- STEFANOV, S., ROUSSINOV, V. and CERCIGNANI, C., ``The Attractors of the Rayleigh-Benard Flow of a Rarefied Gas'', in ``Rarefied Gas Dynamics'', 23rd Int. Symp., A.D. Ketsdever and E.P. Muntz Eds., AIP Conf. Proc.663, pp. 194-201, New York (2003). Zbl1062.76563MR1962741DOI10.1063/1.1483837
- CERCIGNANI, C., ``Ivan KuÏÏscer and gas-surface interaction'', Transport Theory Statist. Phys.32, 215-226 (2003). Zbl1029.82009MR2014716DOI10.1081/TT-120024760
- BOBYLEV, A. V. and CERCIGNANI, C., ``Self-Similar Asymptotics for the Boltzmann Equation with Inelastic Interactions'', in ``Granular Gas Dynamics'', 119-130, T. Pöschel, N. Brilliantov eds., LNP624, Springer (Berlin, 2003).
- ABBÀ, A., VALDETTARO, L. and CERCIGNANI, C., ``Analysis of Subgrid Scale Models'', Computers and Mathematics with applications, vol. 46, n. 4, 521-536 (2003). Zbl1100.76527MR2022757DOI10.1016/S0898-1221(03)90014-9
- CERCIGNANI, C., LAMPIS, M. and LORENZANI, S., ``Variational approach to gas flows in microchannels'', Phys. Fl., 14, 3426-3437 (2004). Zbl1187.76086MR2082039DOI10.1063/1.1764700
- CERCIGNANI, C., LAMPIS, M., LORENZANI, S., ``Plane Poiseuille Flow with Symmetric and Nonsymmetric Gas-Wall Interactions'', Transport Theory Statist. Phys.33, 545-562 (2004). Zbl1076.82041MR2141903DOI10.1081/TT-200053939
- CERCIGNANI, C., LAMPIS, M., LORENZANI, S., ``Plane Poiseuille flow with general boundary conditions: Numerical and variational approach'', Transport Theory and Statistical Physics, Vol. 33, N. 5-7, pp. 545-562 (2004). Zbl1182.76945MR2141903DOI10.1081/TT-200053939
- CERCIGNANI, C., ``Global Weak Solution of the Boltzmann Equation'', Journal of Statistical Physics118, 333-342 (2005). Zbl1097.82022MR2122558DOI10.1007/s10955-004-8786-4
- CERCIGNANI, C., ``From Nice 1958 to Bari 2004: 46 years of RGD Symposia'', in ``Rarefied Gas Dynamics'', 24th Int. Symp., M. Capitelli Ed., AIP Conf. Proc.762, pp. 3-7, New York (2005).
- STEFANOV, S., ROUSSINOV, V. and CERCIGNANI, C., ``Three-Dimensional Rayleigh-Benard Convection of a Rarefied Gas: DSMC and Navier-Stokes Calculations'', in ``Rarefied Gas Dynamics'', 24th Int. Symp., M. Capitelli Ed., AIP Conf. Proc.762, pp. 529-534, New York (2005).
- CERCIGNANI, C., LAMPIS, M., LORENZANI, S., ``Flow of a Rarefied Gas between Parallel and Almost Parallel Plates'', in ``Rarefied Gas Dynamics'', 24th Int. Symp., M. Capitelli Ed., AIP Conf. Proc.762, pp. 719-724, New York (2005).
- CERCIGNANI, C., ``Onsager relations'', in ``Handbook of Condensed Matter'', Elsevier (2005).
- CERCIGNANI, C., ``Stochastic processes in physics and chemistry'', in ``Handbook of Condensed Matter'', Elsevier (2005).
- CERCIGNANI, C., ``Weak Solutions of the Boltzmann equation without angle cutoff'', Journal of Statistical Physics123, 753-762 (2006). Zbl1108.82037MR2255077DOI10.1007/s10955-006-9115-x
- CERCIGNANI, C., ``Existence and energy conservation for the Boltzmann Equation'', in Proceedings ``WASCOM 2005'' 13th Conference on Waves and Stability in Continuous Media, 101-109, R. Monaco, G. Mulone, S. Rionero, T. Ruggeri, eds., World Scientific, Singapore (2006). Zbl1345.76091MR2231272DOI10.1142/9789812773616_0016
- CERCIGNANI, C., ``Boltzmanns Vermächtnis'', Physik Journal5, 47-51 (2006).
- CERCIGNANI, C., LAMPIS, M., LORENZANI, S., ``Plane Poiseuille-Couette problem in micro-electro-mechanical systems applications with gas-rarefaction effects'', Physics of Fluids, 18, pp. 087102-087102 (2006). Zbl1262.76087MR2259392DOI10.1063/1.2335847
- CERCIGNANI, C., ``Ludwig Boltzmann: atomic genius'', Physics World, 19, pp.34-38 (2006). MR1700775
- CERCIGNANI, C., ``Existence Theory for the Boltzmann equation'', Rendiconti Accademia Nazionale delle Scienze detta dei XL, XXIX, 111-122 (2005). MR2305064
- CERCIGNANI, C., ``Rigorous Results for Conservation Equations and Trend to Equilibrium in Space-Inhomogeneous Kinetic Theory'', in ``Transport Phenomena and Kinetic Theory: Applications to Gases, Semiconductors, Photons, and Biological Systems'', C. CERCIGNANI and E. GABETTA, eds., 3-17, Birkhäuser, Boston, (2006). MR2334303DOI10.1007/978-0-8176-4554-0_1
- CERCIGNANI, C., ``Estimating the Solutions of the Boltzmann equation'', Journal of Statistical Physics124, 1491-1497 (2006). Zbl1110.82036MR2266453DOI10.1007/s10955-006-9192-x
- CERCIGNANI, C., FRANGI, A., LORENZANI, S., VIGNA, B., ``BEM approaches and simplified kinetic models for the analysis of damping in deformable MEMS'', Engineering Analysis with Boundary Elements, 31, pp.451-457 (2007). Zbl1195.76276
- CERCIGNANI, C., ``The Boltzmann equation: mathematics and applications'', Bollettino U.M.I., 10B, 293-315 (2007). Zbl1178.82042MR2339443
- CERCIGNANI, C., ``Microscopic Foundations of the Mechanics of Gases and Granular Materials'', 63-79, in ``Material Substructures in Complex Bodies'', Elsevier, G. Capriz and P.M. Mariano, eds. (2007).
- CERCIGNANI, C., LAMPIS, M., LORENZANI, S., ``On the Reynolds equation for linearized models of the Boltzmann operator'', Transport Theory Statist. Phys.36, 257-280 (2007). Zbl1136.82018MR2357196DOI10.1080/00411450701465643
- CERCIGNANI, C., FREZZOTTI, A., GIBELLI, L., LORENZANI, S., FRANGI, A., ``Kinetic approach to gas flows in microchannels'', Nanoscale and Microscale Thermo-Physical Engineering, 211-226, 11, (2007).
- CERCIGNANI, C., LAMPIS, M., LORENZANI, S., ``Mathematical Models and Methods in Micro-Nano Technologies'', in ``Applied and industrial mathematics in Italy II'', 247-258, World Scientific, Singapore, V. Cutello, G. Fotia, L. Puccio, eds., 8th SIMAI Conference (2007). MR2367576DOI10.1142/9789812709394_0022
- STEFANOV, S., ROUSSINOV, V. and CERCIGNANI, C., ``Rayleigh-Bnard flow of a rarefied gas and its attractors. III. Three-dimensional computer simulations'', Phys. Fluids19, 124101 (2007) (13 pages). Zbl1182.76719MR1962742DOI10.1063/1.1483839
- CERCIGNANI, C., LAMPIS, M. and LORENZANI, S., ``Generalized Reynolds Equation based on the Ellipsoidal Statistical Model'', in ``Rarefied Gas Dynamics'', 1093-1098, Publishing House of the Siberian Branch of the Russian Academy of Sciences, Novosibirsk, M.S. Ivanov, A. K. Rebrov, eds. (2007).
- CERCIGNANI, C., ``La fisica e la matematica di Eugenio Beltrami'', in ``Un grande matematico dell'Ottocento. Omaggio a Eugenio Beltrami'', LED, Milano (2007). MR2367382
- CERCIGNANI, C., ``Kinetic approach to the study of MEMS'', Bull. Inst. Math., Academia Sinica, 3, 99-114, 11, (2008). Zbl1141.82330MR2398022
- CERCIGNANI, C., FREZZOTTI, A., LORENZANI, S., ``Using the Kinetic Equations for MEMS and NEMS'', in ``Advances in Multiphysics Simulation and Experimental Testing of MEMS'', 37-80, Imperial College Press, London, A. FRANGI et al., eds. (2008).
- BOBYLEV, A.V., CERCIGNANI, C., GAMBA, I.M., ``Generalized Kinetic Maxwell Type Models of Granular Gases'', in ``Mathematical Models of Granular Gases'', 23-58, Elsevier, G. Capriz, P. Giovine and P. M. Mariano, eds., Lecture Notes in Mathematics1937 (2008). Zbl1298.76209MR2436467DOI10.1007/978-3-540-78277-3_2
- CERCIGNANI, C., ``134 years of Boltzmann equation'', in ``Boltzmann's Legacy'', 107-127, G. Gallavotti, W.L. Reiter, J. Yngvason, eds., European Mathematical Society (2008). Zbl1156.82301MR2509759DOI10.4171/057-1/8
- CERCIGNANI, C., ``The Boltzmann equation in the 20th century'', Discrete and Continuous Dynamical Systems, 24, 83-94 (2009). Zbl1162.82315MR2476681DOI10.3934/dcds.2009.24.83
- BOBYLEV, A. V., CERCIGNANI, C. and GAMBA, I. M., ``On the Self-Similar Asymptotics for Generalized Nonlinear Kinetic Maxwell Models'', Communications in Mathematical Physics, 291599-644 (2009). Zbl1192.35126MR2534787DOI10.1007/s00220-009-0876-3
- CERCIGNANI, C., LORENZANI, S., ``Variational derivation of the second-order slip coefficients on the basis of the Boltzmann equation for hard-sphere molecules'', Phys. Fluids, 22: 062004-062004-8, 2010, pubblicato postumo. Zbl1190.76022
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