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arxiv: 1110.2827 · v4 · pith:DRODGR6Unew · submitted 2011-10-13 · 🧮 math.AP · math-ph· math.MP

The Vlasov-Maxwell-Boltzmann System for Weakly Inhomogeneous Data

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keywords inhomogeneoussystemweaklyarbitrarilyaroundasymptoticbehaviorboltzmann
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This paper is devoted to the study of the dynamics of charged particles in a weakly inhomogeneous dilute gas. More precisely, we consider the existence of unique global in time classical solutions for the Vlasov-MaxwellBoltzmann system and its asymptotic behavior when the particle distribution function is a small perturbation around an arbitrarily large homogenous solution of the Boltzmann equation.

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