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Stability of the relativistic Maxwellian in a collisional plasma. (English) Zbl 1113.82070
Summary: 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.

82D10 Statistical mechanics of plasmas
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
76Y05 Quantum hydrodynamics and relativistic hydrodynamics
35Q60 PDEs in connection with optics and electromagnetic theory
35Q75 PDEs in connection with relativity and gravitational theory
Full Text: DOI
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