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arxiv: math/0512002 · v3 · submitted 2005-11-30 · 🧮 math.AP

The Vlasov-Maxwell-Boltzmann System in The Whole Space

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keywords particlessystemvlasov-maxwell-boltzmanncauchychargedclassicalcollisionsdescribe
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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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