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Stability of the Relativistic Maxwellian in a Collisional Plasma

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Abstract

The relativistic Landau-Maxwell system is the most fundamental and complete model for describing the dynamics of a dilute collisional plasma in which particles interact through Coulombic collisions and through their self-consistent electromagnetic field. We construct the first global in time classical solutions. Our solutions are constructed in a periodic box and near the relativistic Maxwellian, the Jüttner solution.

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Authors and Affiliations

  1. Lefshetz Center for Dynamical Systems, Division of Applied Mathematics, Brown University, Providence, RI, 02912, USA

    Robert M. Strain & Yan Guo

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  1. Robert M. Strain
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  2. Yan Guo
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Communicated by H. Spohn

Acknowledgements The research is supported in part by NSF grants.

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Strain, R., Guo, Y. Stability of the Relativistic Maxwellian in a Collisional Plasma. Commun. Math. Phys. 251, 263–320 (2004). https://doi.org/10.1007/s00220-004-1151-2

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  • DOI: https://doi.org/10.1007/s00220-004-1151-2

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