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.
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
.
DOI: 10.1007/s10473-025-0614-8
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