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Global existence proof for relativistic Boltzmann equation

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Abstract

The existence and causality of solutions to the relativistic Boltzmann equation inL 1 and inL 1loc are proved. The solutions are shown to satisfy physically naturala priori bounds, time-independent inL 1. The results rely upon new techniques developed for the nonrelativistic Boltzmann equation by DiPerna and Lions.

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Authors and Affiliations

  1. Institute for Fundamental Technological Research, Polish Academy of Sciences, PL-00-049, Warsaw, Poland

    Marek Dudyński

  2. Institute for Theoretical Physics, Polish Academy of Sciences, PL-02-668, Warsaw, Poland

    Maria L. Ekiel-Jeżewska

Authors
  1. Marek Dudyński
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  2. Maria L. Ekiel-Jeżewska
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Dudyński, M., Ekiel-Jeżewska, M.L. Global existence proof for relativistic Boltzmann equation. J Stat Phys 66, 991–1001 (1992). https://doi.org/10.1007/BF01055712

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  • DOI: https://doi.org/10.1007/BF01055712

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