The Vlasov-Maxwell-Boltzmann System for Weakly Inhomogeneous Data

Abstract

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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References in corpus (2)

• Optimal Time Decay of the Vlasov-Poisson-Boltzmann System in ${\mathbb{R}}^3$
• Optimal Large-Time Behavior of the Vlasov-Maxwell-Boltzmann System in the Whole Space