Optimal Convergence Rates of Classical Solutions for Vlasov-Poisson-Boltzmann System |
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| Authors: | Tong Yang Hongjun Yu |
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| Affiliation: | 1.Department of Mathematics,City University of Hong Kong,Kowloon,Hong Kong;2.School of Mathematical Sciences,South China Normal University,Guangzhou,P. R. China |
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| Abstract: | The dynamics of charged dilute particles can be modeled by the two species Vlasov-Poisson-Boltzmann system when the particles interact through collisions in the self-induced electric field. By constructing the compensating function for multi-species particle system, the optimal time decay of global classical solutions to this system near a global Maxwellian is obtained through a refined energy method. |
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