Classical solutions of the modified Vlasov-Poisson-Boltzmann system converge to the incompressible Navier-Stokes-Poisson-Fourier system with optimal rate in the diffusion limit.
Guo, Boltzmann diffusive limit beyound the Navier-Stokes approximation,Commun
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Diffusion Limit with Optimal Convergence Rate of Classical Solutions to the modified Vlasov-Poisson-Boltzmann System
Classical solutions of the modified Vlasov-Poisson-Boltzmann system converge to the incompressible Navier-Stokes-Poisson-Fourier system with optimal rate in the diffusion limit.