The Vlasov-Maxwell-Boltzmann system in the whole space. Strain, R. M. Comm. Math. Phys., 268(2):543–567, 2006.
The Vlasov-Maxwell-Boltzmann system in the whole space [pdf]Pdf  doi  abstract   bibtex   
The Vlasov-Maxwell-Boltzmann system is a fundamental model to describe the dynamics of dilute charged particles, where particles interact via collisions and through their self-consistent electromagnetic field. We prove the existence of global in time classical solutions to the Cauchy problem near Maxwellians.

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