THE VLASOV-POISSON-BOLTZMANN SYSTEM NEAR MAXWELLIANS FOR LONG-RANGE INTERACTIONS |
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| Authors: | Lusheng WANG;Qinghua XIAO;Linjie XIONG;Huijiang ZHAO |
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| Institution: | Lusheng WANG;Qinghua XIAO;Linjie XIONG;Huijiang ZHAO;School of Mathematics and Statistics, Wuhan University;Department of Mathematics, Northwest University;Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences;College of Mathematics and Econometrics, Hunan University;Computational Science Hubei Key Laboratory,Wuhan University; |
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| Abstract: | In this article, we are concerned with the construction of global smooth smallamplitude solutions to the Cauchy problem of the one species Vlasov-Poisson-Boltzmann system near Maxwellians for long-range interactions. Compared with the former result obtained by Duan and Liu in 12] for the two species model, we do not ask the initial perturbation to satisfy the neutral condition and our result covers all physical collision kernels for the full range of intermolecular repulsive potentials. |
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