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The limit problem for the Vlasov-Maxwell-Fokker-Planck system. (Chinese. English summary) Zbl 1199.82027

Summary: The combined quasineutral and inviscid limit for the Vlasov-Maxwell-Fokker-Planck system is rigorously derived in this paper. It is shown that the renormalized solution of Vlasov-Maxwell-Fokker-Planck system converges to the strong solution of the so-called electron magnetohydrodynamics equations. The proof of convergence result relies on the weak convergence compactness method and the relative-entropy method.

MSC:

82D10 Statistical mechanics of plasmas
35F20 Nonlinear first-order PDEs
35B40 Asymptotic behavior of solutions to PDEs
76X05 Ionized gas flow in electromagnetic fields; plasmic flow
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