Modèles cinétiques à répartition discrète des vitesses et à invariance galiléenne

D. Serre

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1993)

  • Volume: 27, Issue: 7, page 803-815
  • ISSN: 0764-583X

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Serre, D.. "Modèles cinétiques à répartition discrète des vitesses et à invariance galiléenne." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 27.7 (1993): 803-815. <http://eudml.org/doc/193724>.

@article{Serre1993,
author = {Serre, D.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {fourteen velocity model; quasilinear; non-conservative; propagation speeds; geometrical optics},
language = {fre},
number = {7},
pages = {803-815},
publisher = {Dunod},
title = {Modèles cinétiques à répartition discrète des vitesses et à invariance galiléenne},
url = {http://eudml.org/doc/193724},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Serre, D.
TI - Modèles cinétiques à répartition discrète des vitesses et à invariance galiléenne
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1993
PB - Dunod
VL - 27
IS - 7
SP - 803
EP - 815
LA - fre
KW - fourteen velocity model; quasilinear; non-conservative; propagation speeds; geometrical optics
UR - http://eudml.org/doc/193724
ER -

References

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  1. [Ga] R. GATIGNOL, 1975, Théorie cinétique des gaz à répartition discrète des vitesses, Lecture Notes in Physics 36, Springer Verlag. MR416379
  2. [GLPS] F. GOLSE, P.-L. LIONS, B. PERTHAME, R. SENTIS, 1988, Regularity of the moments of the solution of a transport equation, J. of Funct. Anal., 76, 110-125. Zbl0652.47031MR923047
  3. [DiL] R. DIPERNA, P.-L. LIONS, 1989, On the Cauchy problem for the Boltzmann equation : global existence and weak stability results, Annals of Maths, 130, 321-366. Zbl0698.45010MR1014927
  4. [Ko] J. KOELMAN, 1991, A simple lattice Boltzmann scheme for Navier-Stokes fluid flow, Europhysic Letters, 15, 603-607. 
  5. [Bo] G. BOILLAT, 1972, Chocs caractéristiques, Comptes Rendus Acad. Sc., 274, 1018-1021. Zbl0234.35063MR295670
  6. [Gs] O. GUÈS, 1989, Solutions oscillantes de systèmes hyperboliques non linéaires, Journées EDP, St Jean-de-Monts, 1989, École Polytechnique, exposé IX. 
  7. [Fr] H. FREISTUHLER, 1990, Linear degeneracy and shock waves, Preprint, Aachen. Zbl0756.35048MR1119958
  8. [BGL] C. BARDOS, F. GOLSE, D. LEVERMORE, 1991, Fluid dynamic limits of discrete velocity kinetic equations, in Advances in kinetic theory and continuum mechanics, Gatignol, Soubbaramayer eds. Springer Verlag. MR1087069

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