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Stability of the Equilibrium to the Vlasov-Poisson-Boltzmann System with Non-constant Background Charge

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Affiliation of Author(s):理学院
Journal:ACTA APPLICANDAE MATHEMATICAE
Key Words:Vlasov-Poisson-Boltzmann system Non-constant background charge Stability
Abstract:We study the global existence of classical solution to the Vlasov-Poisson-Boltzmann system with non-constant background charge. In this case the local Maxwellian is the unique stationary state. We show that this equilibrium is nonlinear stable provided that the initial perturbation is sufficient small. Our result solves an open problem stated by Duan and Yang (SIAM J. Math. Anal. 41(6):2353-2387, 2009) in one dimensional case.
ISSN No.:0167-8019
Translation or Not:no
Date of Publication:2018-12-01
Co-author:lxj
Correspondence Author:yxh
Date of Publication:2018-12-01

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