Remarques sur la formulation cinétique des lois de conservation scalaires

B. Perthame

Séminaire Équations aux dérivées partielles (Polytechnique) (1990-1991)

  • page 1-13

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Perthame, B.. "Remarques sur la formulation cinétique des lois de conservation scalaires." Séminaire Équations aux dérivées partielles (Polytechnique) (1990-1991): 1-13. <http://eudml.org/doc/112023>.

@article{Perthame1990-1991,
author = {Perthame, B.},
journal = {Séminaire Équations aux dérivées partielles (Polytechnique)},
keywords = {entropy solutions; conservation laws; monoatomic isentropic gas dynamics; approximating semilinear hyperbolic problem; regularity and compactness results for the solutions; hypoelliptic regularization properties; compressible Euler system},
language = {fre},
pages = {1-13},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Remarques sur la formulation cinétique des lois de conservation scalaires},
url = {http://eudml.org/doc/112023},
year = {1990-1991},
}

TY - JOUR
AU - Perthame, B.
TI - Remarques sur la formulation cinétique des lois de conservation scalaires
JO - Séminaire Équations aux dérivées partielles (Polytechnique)
PY - 1990-1991
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 13
LA - fre
KW - entropy solutions; conservation laws; monoatomic isentropic gas dynamics; approximating semilinear hyperbolic problem; regularity and compactness results for the solutions; hypoelliptic regularization properties; compressible Euler system
UR - http://eudml.org/doc/112023
ER -

References

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  2. [2] R. Di Perna, P.L.Lions, Global weak solutions of Vlasov-Maxwell systems. Comm. Pure Appl. Math.XLII (1989), 729-757. Zbl0698.35128MR1003433
  3. [3] R. Di Perna, P.L. Lions, Y. Meyer, LP regularity of velocity averages. A paraître dans Ann. IHP Anal. Non Lin., 1991. Zbl0763.35014MR1127927
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  5. [5] F. Golse, B. Perthame, R. Sentis, Un résultat de compacité pour les équations de transport. C.R. Acad. Sc. Paris301 (1985), 341-344. Zbl0591.45007MR808622
  6. [6] F. Golse, P.L. Lions, B. Perthame, R. Sentis, Regularity of the moments of the solution of a transport equation. J. Funct. Anal.76 (1), (1988), 110-125. Zbl0652.47031MR923047
  7. [7] L. Hörmander, Hypoelliptic second order differential équations, Acta Math.119, 1967, 147-171. Zbl0156.10701MR222474
  8. [8] S. Kruzkov, First order quasi-linear équations with several space variables. Math. USSR Sb.10 (1970), 217-273. Zbl0215.16203
  9. [9] P.L. Lions, B. Perthame, E. Tadmor, Article en préparation. Note C.R.A.S. t. Série 1 (1991). 
  10. [10] B. Perthame, Higher moments for kinetic équations ; Applications to Vlasov-Poisson and Fokker-Planck Equations. Math. Methods in the Appl. Sc.13 (1900), 441-452. Zbl0717.35017MR1078593
  11. [11] B. Perthame, E. Tadmor, A kinetic equation with kinetic entropy functions for scalar conservation laws. A paraître dans Comm. in Math. Phys. Zbl0729.76070
  12. [12] J. Smoller, Shock waves and reaction diffusion equations. Springer-VerlagNew York, Heidelberg-Berlin, (1982). Zbl0508.35002MR1301779
  13. [13] L. Tartar, In Research notes in Mathematics, 39, Henriot-Watt Symp. Vol.4Pitman PressBoston, London (1975), 136-211. 
  14. [14] B. Perthame, Entropy Boltzmann schemes for gas dynamics equationsSIAM J. Num. Anal.28 (1), (1991). 

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