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

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 $L_k^1{L}_T^{\infty }{L}_v^2$ is constructed. Moreover, the exponential time decay of the solutions is obtained.

The main conclusion of the article is incorrect

References in corpus (2)

• Optimal Large-Time Behavior of the Vlasov-Maxwell-Boltzmann System in the Whole Space
• Global mild solutions of the Landau and non-cutoff Boltzmann equations