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Original Articles

On asymptotics of the Boltzmann equation when the collisions become grazing

Pages 259-276 | Received 25 Feb 1991, Accepted 03 Feb 1992, Published online: 01 Dec 2006

References

  • Cercignani , C. 1988 . The Boltzmann equation and its applications , Berlin, Heidelberg, New York : Springer .
  • Chapman , S. and Cowling , T. G. 1939 . The mathematical theory of non-uniform gases , London : Cambridge University Press .
  • Degond , P. and Lucquin-Desreux , B. The Fokker-Planck Asymptotics of the Boltzmann Collision Operator in the Coulomb Case . Math. Mod. and Meth. in Appl. Sc. , to appear
  • DiPerna , R. and Lions , P-L. 1989 . On the Cauchy problem for Boltzmann equation, Global existence and weak stability . Ann. Math. , 130 : 321 – 366 .
  • Grad , H. 1958 . “ Principles of the kinetic theory of gases ” . In Flugge's Handbuch der, Physik 12 , 205 – 294 . Berlin, Gotingen, Heidelberg : Springer .
  • Illner , R. and Pulvirenti , M. 1986 . Global validity of the Boltzmann equation for a twodimensional rare gas in vacuum . Comm. in Math. Phys. , 105 : 189 – 203 .
  • Iliner , R. and Shinbrot , M. 1984 . The Boltzmann equation: global existence for a rare gas in an infinite vacuum . Comm. in Math. Phys. , 95 : 217 – 226 .
  • Kač , M. 1956 . Foundations of kinetic theory . Proc. 3rd Berkeley Symposium on Math. Statis. and Probab. , 3 : 171 – 197 .
  • Lifshitz , E. M. and Pitaevskii , L. P. 1981 . Physical kinetics , Oxford : Pergamon Press .
  • McKean , H. P. 1966 . Speed of approach to equilibrium for Kaš's caricature of a Maxwellian gas . Arch. Rat. Mech. Anal. , 21 : 347 – 367 .
  • Truesdell , C. and Muncaster , R. 1980 . Fundamentals of Maxwell kinetic theory of a simple monoatomic gas , New York : Academic Press .

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