Équations cinétiques et changement d'échelle

C. Bardos

Recherche Coopérative sur Programme n°25 (1986)

  • Volume: 36, page 1-17

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Bardos, C.. "Équations cinétiques et changement d'échelle." Recherche Coopérative sur Programme n°25 36 (1986): 1-17. <http://eudml.org/doc/274672>.

@article{Bardos1986,
author = {Bardos, C.},
journal = {Recherche Coopérative sur Programme n°25},
language = {fre},
pages = {1-17},
publisher = {Institut de Recherche Mathématique Avancée - Université Louis Pasteur},
title = {Équations cinétiques et changement d'échelle},
url = {http://eudml.org/doc/274672},
volume = {36},
year = {1986},
}

TY - JOUR
AU - Bardos, C.
TI - Équations cinétiques et changement d'échelle
JO - Recherche Coopérative sur Programme n°25
PY - 1986
PB - Institut de Recherche Mathématique Avancée - Université Louis Pasteur
VL - 36
SP - 1
EP - 17
LA - fre
UR - http://eudml.org/doc/274672
ER -

References

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  1. [1] C. Bardos et P. Degond : Global Existence for the Vlasov-Poisson Equation in 3 space variable with small initial Data. Annales de l'Institut Henri Poincaré. Analyse non linéaire. Zbl0593.35076
  2. [2] C. Bardos et F. Golse : Différents aspects de la notion d'entropie au niveau de l'Equation de Boltzmann et de Navier-Stokes. C.R. Acad. Sci.Paris, t. 299 Série I - 7 (1984). Zbl0575.35073MR762726
  3. [3] R. Caflisch : The Fluid dynamic limit of the non linear Boltzmann Equation. Comm. in Pure Appl. Math.3 (1980) p. 651-666. Zbl0424.76060MR586416
  4. [4] S. Chapman et T.G. Cowling : The mathematical theory of non uniform gases. 3rd Ed. Cam. Univ. Press (1970). Zbl0049.26102MR258399
  5. [5] R. Di Perna : Convergence of Approximate Solutions to conservations laws. Arch. Rat. Mech. Anal. (1983). Zbl0519.35054MR684413
  6. [6] J. Ferziger et H. Kaper : Mathematical Theory of Transport Processes in Gases. (North HollandAmsterdam1972). 
  7. [7] H. Grad : Asymptotic equivalence of the Navier-Stokes and non linear Boltzmann Equation in Proc. Symp. Appl. XVII. Application of non linear P.D.E. in Mathematics, p. 154-183. Zbl0144.48203MR184507
  8. [8] K. Hamdache : Quelques résultats pour l'Equation de Boltzmann. Note C.R. Acad. Sci.Paris. Zbl0575.76077
  9. [9] R. Ilner et M. Shinbrot : The Boltzmann Equation global existence in an infinite vacuum. A paraître dans Com. Math. Phys. Zbl0599.76088
  10. [10] S. Klainerman : Long time behaviour of the solution to non linear equations, Arch. Rat. Mech. and Anal. Vol. 78 (1982), p. 73-98. Zbl0502.35015
  11. [11] P. Lax : Hyperbolic Systems of Conservation Laws and the Mathematical Theory of Shock waves. S.I.A.M. Regional ConferenceSerie in Math.II1973. Zbl0268.35062MR350216
  12. [12] T. Nishida : Fluid dynamical limit of the non linear Boltzmann Equation to the level of the compressible Euler Equation. Comm. Math. Phys.61 (1978), p. 119-148. Zbl0381.76060MR503305

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