Stability of the relativistic Maxwellian in a collisional plasma. Strain, R. M. & Guo, Y. Comm. Math. Phys., 251(2):263–320, 2004.
Stability of the relativistic Maxwellian in a collisional plasma [pdf]Pdf  doi  abstract   bibtex   
The relativistic Landau-Maxwell system is among the most fundamental and complete models 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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