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Global weak solutions to the relativistic BGK equation

Analysis of PDEs 2019-02-21 v1

Abstract

In this paper the global existence of weak solutions to the relativistic BGK model for the relativistic Boltzmann equation is analyzed. The proof relies on the strong compactness of the density, velocity and temperature under minimal assumptions on the control of some moments of the initial condition together with the initial entropy.

Keywords

Cite

@article{arxiv.1902.07453,
  title  = {Global weak solutions to the relativistic BGK equation},
  author = {Juan Calvo and Pierre-Emmanuel Jabin and Juan Soler},
  journal= {arXiv preprint arXiv:1902.07453},
  year   = {2019}
}

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36 pages