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Global mild solutions to the Vlasov-Maxwell-Fokker-Planck system
Published 1 Dec 2021 in math.AP, math-ph, and math.MP | (2112.00244v2)
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 $L1_kL\infty_TL2_v$ is constructed. Moreover, the exponential time decay of the solutions is obtained.
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