| Convergence of the Vlasov-Poisson-Boltzmann System to the Incompressible Euler Equations |
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| 引用本文： | Ling HSIAO Fu Cai LI Shu WANG. Convergence of the Vlasov-Poisson-Boltzmann System to the Incompressible Euler Equations[J]. 数学学报(英文版), 2007, 23(4): 761-768. DOI: 10.1007/s10114-005-0774-3 |
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| 作者姓名： | Ling HSIAO Fu Cai LI Shu WANG |
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| 作者单位： | [1]Academy of Mathematics and Systems Science, Beijing 100080, P. R Chinese Academy of Sciences, China [2]Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China [3]College of Applied Sciences, Beijing University of Technology, Beijing 100022, P. R. China |
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| 基金项目： | L. Hsiao is partially supported by the Special Funds of State Major Basic Research Projects （Grant 1999075107） by The Grant of NSAF （No. 10276036）, and by NSFC （Grant 10431060） F. Li is partially supported by Tianyuan Youth Funds of China （Grant 10426030）, by NSFC （Grant 10501047） and by Nanjing University Talent Development Foundation. S. Wang is supported by NSFC （Grant 10471009） |
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| 摘 要： |
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| 关 键 词： | Vlasov-Poisson-Boltzmann系统 收敛 不可压缩流体 欧拉方程 |
| 收稿时间： | 2004-07-08 |
| 修稿时间： | 2004-07-082005-02-17 |
Convergence of the Vlasov–Poisson–Boltzmann System tothe Incompressible Euler Equations |
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| Ling Hsiao,Fu Cai Li,Shu Wang. Convergence of the Vlasov–Poisson–Boltzmann System tothe Incompressible Euler Equations[J]. Acta Mathematica Sinica(English Series), 2007, 23(4): 761-768. DOI: 10.1007/s10114-005-0774-3 |
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| Authors: | Ling Hsiao Fu Cai Li Shu Wang |
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| Affiliation: | (1) Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100080, P. R. China;(2) Department of Mathematics, Nanjing University, Nanjing 210093, P. R. China;(3) College of Applied Sciences, Beijing University of Technology, Beijing 100022, P. R. China |
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| Abstract: | In this paper we establish the convergence of the Vlasov-Poisson-Boltzmann system to the incompressible Euler equations in the so-called quasi-neutral regime. The convergence is rigorously proved for time intervals on which the smooth solution of the Euler equations of the incompressible fluid exists. The proof relies on the relative-entropy method. |
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| Keywords: | Vlasov-Poisson-Boltzmann system Euler equations of the incompressible fluid Relativeentropy method |
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