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arXiv:2007.01461 [math.AP]AbstractReferencesReviewsResources

Diffusion Limit of the Vlasov-Poisson-Boltzmann System

Hai-Liang Li, Tong Yang, Mingying Zhong

Published 2020-07-03Version 1

In the present paper, we study the diffusion limit of the classical solution to the unipolar Vlasov-Poisson-Boltzmann (VPB) system with initial data near a global Maxwellian. We prove the convergence and establish the convergence rate of the global strong solution to the unipolar VPB system towards the solution to an incompressible Navier-Stokes-Poisson-Fourier system based on the spectral analysis with precise estimation on the initial layer.

Categories: math.AP
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