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Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the Vlasov-Maxwell-Boltzmann System
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We study the diffusion limit of the strong solution to the Vlasov-Maxwell-Boltzmann (VMB) system with initial data near a global Maxwellian. By introducing a new decomposition of the solution to identify the essential components for generating the initial layer, we prove the convergence and establish the opitmal convergence rate of the classical solution to the VMB system to the solution of the Navier-Stokes-Maxwell system based on the spectral analysis.
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Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system
The diffusion limit of the one-species Vlasov-Maxwell-Boltzmann system to the Navier-Stokes-Maxwell-Fourier system holds at rate ε|ln ε|^4(1+t)^{-(5-σ)/8} plus (1+t/ε)^{-1}, improving to ε(1+t)^{-(5-σ)/8} for well-pre...
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