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Original Articles

Shock profiles for the perthame-tadmor kinetic model

Pages 1857-1874 | Published online: 02 Nov 2010

References

  • Arkeryd , L. , Cercignami , C. and Illner , R. 1995 . Measure Solutions of the Steady Boltzmann Equation in a Slab . Commun. in Math. Phys , 142 : 285 – 296 .
  • Arkeryd , L. A Compactness Result Related to the Stationary Boltzmann Equation in a Slab with Application to the Existence Theory . Indiana Univ. Math. J ,
  • Brenier , Y. 1983 . “ Ondes de choc numBriques de la methode de transport et ecroulement; These d'Etat ” . Paris : University Paris IX .
  • Brenier , Y. 1982 . Une Bquation homologique avec contrainte . C. R. Acad. Sci , 1 : 103 – 107 .
  • Brenier , Y. 1983 . Resolution dequations d'evolution quasi-linkaires en dimension N d'espace a l'aide d'equa- tions lineaires en dimension . N + 1: J. of Diff. Eq , 50 : 375 – 390 .
  • Caflisch , R. 1979 . Navier-Stokes and Boltzmann Shock Profiles for a Model of Gas Dynamics . Comm. on Pure and Appl. Math , 32 : 521 – 554 .
  • Caflisch , R. 1982 . Nicolaenko. Shock Profile Solutions of the Boltxniann Equation . Commun. Math. Phys , 86 : 161 – 194 .
  • Giga , Y. and Miyakawa , Y. 1983 . A Kinetic Construct,ion of' Global Solutions of 1st Orrler Quasilinear Equations . Duke Math. .J , 50 : 505 – 515 .
  • Golse , F. , Lions , P.-L. and Sentis , R. 1988 . Regularity of the Moments of the Solution of a Transport Equation . J. of Funct. Anal. , 76 : 110 – 125 .
  • Lions , P.-L. , Perthame , B. and Tadmor , E. 1994 . A Kinetic Formulation of Multidimensional Scalar Conservation Laws and Related Equations . J. of the A.M.S. , 7 : 169 – 191 .
  • Nicolaenko , B. and Tliurber , J. 1975 . Weak Shock and Bifurcating Solutioris of the Nonlinear Boltzrnann Equation . J. Mech. , 14 : 305 – 338 .
  • B. Perthame, Cours Peccot; College de France. (1990).
  • Pertharne , B. and Tadmor , E. 1994 . A Kinetic Equation with Kinetic Entropy . Commun. in Math. Phys , 163 : 415 – 431 .
  • Smoller , J. and Ukai , S. 1992 . Stationary Solution of the BGK Model Equation in a Finite Interval with Large Boundary Data . Transport Theory and Stat. Phys. , 21 : 487 – 500 .
  • 1983 . “ Stationary Solution of the BGK Model Equation in a Finite Interval with Large Boundary Data ” . In Transport Theory and Stat. Phys.

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