The Vlasov-Maxwell-Boltzmann System for Weakly Inhomogeneous Data

2011/10/13 by Seok-Bae Yun, Yun, Seok-Bae
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.AP #math.MP

paper · pdf · doi:10.48550/arxiv.1110.2827

This paper has been withdrawn by the author

arxiv created 2012/05/06 · arxiv updated 2012/05/08

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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