Limites hydrodynamiques
Séminaire Bourbaki (1990-1991)
- Volume: 33, page 167-192
- ISSN: 0303-1179
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topComets, Francis. "Limites hydrodynamiques." Séminaire Bourbaki 33 (1990-1991): 167-192. <http://eudml.org/doc/110137>.
@article{Comets1990-1991,
author = {Comets, Francis},
journal = {Séminaire Bourbaki},
keywords = {system of particles; Markovian dynamics; conservation laws; Ginzburg- Landau equation; local equilibrium; production of entropy},
language = {fre},
pages = {167-192},
publisher = {Société Mathématique de France},
title = {Limites hydrodynamiques},
url = {http://eudml.org/doc/110137},
volume = {33},
year = {1990-1991},
}
TY - JOUR
AU - Comets, Francis
TI - Limites hydrodynamiques
JO - Séminaire Bourbaki
PY - 1990-1991
PB - Société Mathématique de France
VL - 33
SP - 167
EP - 192
LA - fre
KW - system of particles; Markovian dynamics; conservation laws; Ginzburg- Landau equation; local equilibrium; production of entropy
UR - http://eudml.org/doc/110137
ER -
References
top- [AVA] E.D. Andjel, M.E. Vares - Hydrodynamic equations for attractive particle systems in Z, J. Stat. Phys.47 (1987), 265-288. Zbl0685.58043MR892931
- [ABL] E.D. Andjel, M.D. Bramson, T.M. Liggett - Shocks in the asymmetric exclusion process, Prob. Th. Rel. Fields78 (1988), 231- 247. Zbl0632.60107MR945111
- [AK] E.D. Andjel, C. Kipnis - Derivation of the hydrodynamical equation for the zero-range interaction process, Ann. Prob.12 (1984) 325-334. Zbl0536.60097MR735841
- [BF 1] A. Benassi, J.-P. Fouque - Hydrodynamic limit for the asymmetric simple exclusion process, Ann. Prob.15 (1987), 546-560. Zbl0623.60120MR885130
- [BF 2] A. Benassi, J.-P. Fouque - Hydrodynamic limit for the asymmetric zero range process, Ann. Inst. H. Poincaré24 (1988), 184-200. Zbl0646.60038MR953116
- [BR] T. Brox, H. Rost - Equilibrium fluctuations of stochastic particle systems : The role of conserved quantities, Ann. Prob.12 (1984), 742-759. Zbl0546.60098MR744231
- [DKPS] A. De Masi, C. Kipnis, E. Presutti, E. Saada - Microscopic structure at the shock in the asymmetric simple exclusion, Stochastics (1989). Zbl0679.60094
- [DFL] A. De Masi, P. Ferrari, J.L. Lebowitz - Reaction-diffusion equations for interacting particle systems, J. Stat. Phys.44, (1986), 589-644. Zbl0629.60107MR857069
- [DIPP] A. De Masi, N. Ianiro, A. Pellegrinotti, E. Presutti - A survey of the hydrodynamical behavior of many-particle systems. In Zbl0567.76006
- non equilibrium phenomena II, from stochastics to hydrodynamics, J.L. Lebowitz and E.W. Montroll, eds., North-Holland, Amsterdam (1984), 123-294. Zbl0551.00016MR757001
- [DV] M. Donsker, S.R.S. Varadhan - Large deviations from a hydrodynamic scaling limit, Comm. Pure Appl. Math.42 (1989), 243-270. Zbl0780.60027MR982350
- [DS] R.L. Dobrushin, R. Siegmund-Schutze - Hydrodynamical limit for systems of particles with independent evolution, Math. Nachr.105 (1982), 199-224. MR670516
- [ELS] G. Eyink, J.L. Lebowitz, H. Spohn - Hydrodynamics of station- ary non-equilibrium states from stochastic lattice gas models, Comm. Math. Phys.132 (1990), 253-283. Zbl0706.76082MR1069212
- [Fr 1] J. Fritz - On the hydrodynamic limit of a Ginzburg-Landau model. The law of large numbers in arbitrary dimensions, Prob. Theory Rel. Fields81 (1989), 291-318. Zbl0665.60108MR982659
- [Fr 2] J. Fritz - On the diffusive nature of entropy flow in infinite systems..., Comm. Math. Phys.133 (1990), 331-352. Zbl0719.60122MR1090429
- [Fu] T. Funaki - The hydrodynamical limit for scalar Ginzburg-Landau model on R, in stochastic Analysis, Lect. Notes in Math.1322 (1988), 28-36. Zbl0645.60105MR962861
- [FKS] P. Ferrari, C. Kipnis, E. Saada - Microscopic structure of travelling wave in the asymmetric simple exclusion process, Ann. Prob.19 (1991), 226-244. Zbl0725.60113MR1085334
- [GPV] MZ. Guo, G.C. Papanicolaou, S.R.S. Varadhan - Non linear diffusion limit for a system with nearest neighbor interactions, Comm. Math. Phys.118 (1988), 31-59. Zbl0652.60107MR954674
- [KOV] C. Kipnis, S. Olla, S.R.S. Varadhan - Hydrodynamics and large deviation for simple exclusion process, Comm. Pure Appl. Math.42 (1989), 115-137. Zbl0644.76001MR978701
- [La 1] C. Landim - Hydrodynamic equation for attractive particle systems on Zd, preprint, Paris (1989).
- [La 2] C. Landim - Thèse Université de Paris7 (1990).
- [Li] T.M. Liggett - Interacting particle systems, Springer, Berlin (1985). Zbl1103.82016MR776231
- [M] C.B. Morrey - On the derivation of the equation of hydrodynamics from statistical mechanics, Comm. Pure Appl. Math.8 (1955), 279-326. Zbl0065.19406MR70527
- [OV] S. Olla, S.R.S. Varadhan - Scaling limit for interacting Ornstein-Uhlenbeck processes, preprint New York (1990). MR1087388
- [PV] G. Papanicolaou, S.R.S. Varadhan - Boundary value problems with rapidly oscillating coefficients, in Random fields II, ed. Fritz, Lebowitz, Szász, North Holland, Amsterdam (1981).
- [Pr] E. Presutti - Collective behavior of interacting particle systems, Proceed. 1st World Congress Bernoulli Society (1986). Zbl0679.60096MR1092379
- [PS] E. Presutti, H. Spohn - Hydrodynamics of the voter model, Ann. Prob.11 (1983), 867-875. Zbl0527.60094MR714951
- [Re 1] F. Rezakhanlou - Hydrodynamic limit for a system with finite range interactions, Comm. Math. Phys.129 (1990), 445-480. Zbl0702.76121MR1051500
- [Re 2] F. Rezakhanlou - Hydrodynamic limit for attractive particle systems on Zd, preprint, New York (1990). MR1051500
- [Ro 1] H. Rost - Non-equilibrium behavior of a many particle systems : density profile and local equilibrium, Z. Wahr. verw. Geb.58 (1981), 41-54. Zbl0451.60097MR635270
- [Ro 2] H. Rost - Diffusion de sphères dures dans la droite réelle. Comportement macroscopique et équilibre local, Lect. Notes in Math.1059 (1984), 127-143. Zbl0544.60098MR770954
- [Si] Ya.G. Sinaï - Dynamics of local equilibrium Gibbs distributions and Euler equations. The one-dimensional case, Selecta Math. Soviet.7 (1988), n° 3, 279-289. Zbl0681.60101MR967328
- [Sm] J. Smoller - Shock waves and reaction-diffusion equations, Springer- Berlin (1982). Zbl0508.35002MR1301779
- [Sp] H. Spohn - Large scale dynamics of interacting particles. Part B : stochastic lattice gases, preprint, Munich (1989), 260 pages. À paraître aux Lect. Notes in Physics.
- [V] S.R.S. Varadhan - Scaling limits for interacting diffusions, Comm. Math. Phys.135 (1991), 313-353. Zbl0725.60085MR1087387
- [W. 1] D. Wick - A dynamical phase transition in an infinite particle system, J. Stat. Phys.38 (1985), 1015-1025. Zbl0625.76080MR802566
- [W. 2] D. Wick - Hydrodynamic limit of non-gradient interacting particle process, J. Stat. Phys.54 (1989), 873-892. MR988563
- [Y] H. Yau - Relative entropy and hydrodynamics of Ginzburg-Landau models, Let. Math. Phys.22 (1991), 63-80. Zbl0725.60120MR1121850
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