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<p>This paper investigates a coupled system consisting of the Vlasov-Fokker-Planck equation, the compressible Euler equations for fluid 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 refined energy method, which provides uniform control over the solution and ensures the global existence.</p>

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Global classical solution for the Vlasov-Euler-Maxwell-Fokker-Planck system

  • 期刊论文

  • 发表日期：

    2025年10月29日

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  • Jiamu Duan,
  • Shuangqian Liu,
  • Yating Wang,
  • Xueying Zhang

摘要

This paper investigates a coupled system consisting of the Vlasov-Fokker-Planck equation, the compressible Euler equations for fluid 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 refined energy method, which provides uniform control over the solution and ensures the global existence.