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-prepared data.
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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-prepared data.