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Some remarks about continuity properties of local Maxwellians and an existence theorem for the BGK model of the Boltzmann equation

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Abstract

Continuity of local Maxwellians in various topologies ofL 1 is studied. The existence and convergence of approximate solutions of the nonlinear BGK model of the Boltzmann equation are proved.

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Authors and Affiliations

  1. Department of Mathematics, Louisiana State University, 70803, Baton Rouge, Louisiana

    Jacek Polewczak

  2. Department of Mathematics, Virginia Polytechnic Institute and State University, 24061, Blacksburg, Virginia

    William Greenberg

Authors
  1. Jacek Polewczak
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  2. William Greenberg
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Additional information

This work was supported in part by Department of Energy Grant No. DE-AS05-80ER10711

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Polewczak, J., Greenberg, W. Some remarks about continuity properties of local Maxwellians and an existence theorem for the BGK model of the Boltzmann equation. J Stat Phys 33, 307–316 (1983). https://doi.org/10.1007/BF01009799

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  • DOI: https://doi.org/10.1007/BF01009799

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