Global mild solutions to the Vlasov-Maxwell-Fokker-Planck system

2021/12/01 by Fan, Yingzhe, Lei, Yuanjie
#Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.2112.00244

Abstract

Motivated by Duan et al.[Global Mild Solutions of the Landau and Non-Cutoff Boltzmann Equations, Comm. Pure Appl. Math., 74(5), 932-1020.], the global existence of mild solutions to the Vlasov-Maxwell-Fokker-Planck system near a global Maxwellians with small-amplitude initial data in the function space L¹_kL^∞_TL²_v is constructed. Moreover, the exponential time decay of the solutions is obtained.

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