GLOBAL CLASSICAL SOLUTION FOR THE VLASOV-EULER-MAXWELL-FOKKER-PLANCK SYSTEM

doi:10.1007/s10473-025-0614-8

Abstract

Abstract: This paper investigates a coupled system consisting of the Vlasov-Fokker-Planck equation, the compressible Euler equations for uid dynamics, and the Maxwell equations for plasma dynamics. We establish the global well-posedness of the Cauchy problem within a perturbative framework. The proof relies on a re_ned energy method, which provides uniform control over the solution and ensures the global existence.

Key words: Vlasov-Euler-Maxwell-Fokker-Planck system, energy method, time-frequency instant energy functionals

CLC Number:

35Q84

Jiamu DUAN, Shuangqian LIU, Yating WANG, Xueying ZHANG. GLOBAL CLASSICAL SOLUTION FOR THE VLASOV-EULER-MAXWELL-FOKKER-PLANCK SYSTEM[J].Acta mathematica scientia,Series B, 2025, 45(6): 2629-2649.

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