The Vlasov-Maxwell-Boltzmann System in The Whole Space

Mathematics – Analysis of PDEs

Scientific paper

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23 pages

Scientific paper

10.1007/s00220-006-0109-y

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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