Homogenization of a linear transport equation with time depending coefficient

Milena Petrini

Rendiconti del Seminario Matematico della Università di Padova (1999)

  • Volume: 101, page 191-207
  • ISSN: 0041-8994

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Petrini, Milena. "Homogenization of a linear transport equation with time depending coefficient." Rendiconti del Seminario Matematico della Università di Padova 101 (1999): 191-207. <http://eudml.org/doc/108484>.

@article{Petrini1999,
author = {Petrini, Milena},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {homogenization; linear transport equation; time depending coefficient; Cauchy problem},
language = {eng},
pages = {191-207},
publisher = {Seminario Matematico of the University of Padua},
title = {Homogenization of a linear transport equation with time depending coefficient},
url = {http://eudml.org/doc/108484},
volume = {101},
year = {1999},
}

TY - JOUR
AU - Petrini, Milena
TI - Homogenization of a linear transport equation with time depending coefficient
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1999
PB - Seminario Matematico of the University of Padua
VL - 101
SP - 191
EP - 207
LA - eng
KW - homogenization; linear transport equation; time depending coefficient; Cauchy problem
UR - http://eudml.org/doc/108484
ER -

References

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  1. [1] R. Alexandre, Homogénéisation de certaines équations du type transport, Thèse de doctorat, Univ. ParisVI (1993). 
  2. [2] L. Ambrosio - P. D'Ancona - S. Mortola, Γ-convergence and least square methods, Ann. Mat. Pur. Appl. (IV), Vol. CLXVI (1994), pp. 101-127. Zbl0813.49015
  3. [3] Y. Amirat - K. Hamdache - A. Ziani, Homogénéisation d' équations hyperboliques du premier ordre et applications aux écoulements miscibles en milieu poreux, Ann. Inst. Henri Poincaré, Analyse non linéaire, 6 (1989), pp. 397-417. Zbl0699.35170MR1030857
  4. [4] Y. Amirat - K. Hamdache - A. Ziani, Homogenization of parametrized families of hyperbolic problems, Proc. of Roy. Soc. of Edinb., 120A (1992), pp. 199-221. Zbl0758.35006
  5. [5] Y. Amirat - K. Hamdache - A. Ziani, Some results on homogenization of convection diffusion equations, Arch. Rat. Mech. Anal., 114 (1991), pp. 155-178. Zbl0742.35007MR1094434
  6. [6] Y. Amirat - K. Hamdache - A. Ziani, On homogenization of ordinary differential equations and linear transport equations, Calculus of variations, Homogenization and continuum mechanics, Series on Adv. in Math. for appl. Sc., vol. 18, pp. 29-50. Zbl0894.34056MR1428690
  7. [7] Y. Amirat - K. Hamdache - A. Ziani, Kinetic formulation for a transport equation with memory, Comm. in P.D.E., 16(8&9) (1991), pp. 1287-1311. Zbl0749.35021MR1132786
  8. [8] W. E., Homogenization of linear and nonlinear transport equations, Comm. on Pure and Applied Math., XLV(3) (1992), pp. 301-326. Zbl0794.35014MR1151269
  9. [9] I.M. Gel'fand - G.E. Shilov, Generalized functions, 1, 2, Academic Press (1964). Zbl0115.33101MR166596
  10. [10] F. Golse, Remarques sur l'homogénéisation pour l'équation de transport, C. R. A. S. Paris, 305 (1987), pp. 801-804. Zbl0658.35083MR923202
  11. [11] L. Hörmander, The analysis of linear partial differential operators, I, Springer Verlag ed., N. 256 (1983). Zbl0521.35001MR717035
  12. [12] Y. Katznelson, An introduction to harmonic analysis, Dover publications (1976). Zbl0352.43001MR422992
  13. [13] V. Lakshmikantham - S. Leela, Differential and integral inequalities, Academic Press (1969). Zbl0177.12403
  14. [14] S. Migorski - S. Mortola - J. Traple, Homogenization of first order differential operators, Rend. Acc. Naz. Sci. XL Mem. Mat., (5), 16 (1992), pp. 259-276. Zbl0834.34066MR1205754
  15. [15] M. Petrini, Homogenization of linear and nonlinear ordinary differential equations with time depending coefficients, to appear in Rend. Sem. Mat. Zbl0907.34045MR1636595
  16. [16] L. Tartar, Non local effects induced by homogenization, P.D.E. and Calculus of Variations. Essays in honour of E. De Giorgi, Vol. 2, Birkhauser (1989), pp. 925-938. Zbl0682.35028MR1034036
  17. [17] L. Tartar, Memory effects and homogenization, Arch. Rat. Mech. Anal. (1990), pp. 121-133. Zbl0725.45012MR1057651

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