| Weak Solutions for the Vlasov-Poisson Initial-Boundary Value Problem with Bounded Electric Field |
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| 引用本文： | Mihai BOSTAN. Weak Solutions for the Vlasov-Poisson Initial-Boundary Value Problem with Bounded Electric Field[J]. 数学年刊B辑(英文版), 2007, 28(4): 389-420. DOI: 10.1007/s11401-005-0448-6 |
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| 作者姓名： | Mihai BOSTAN |
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| 作者单位： | Laboratoire de |
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| 摘 要： | The aim of this work is to construct weak solutions for the three dimensional Vlasov-Poisson initial-boundary value problem with bounded electric field.The main in- gredient consists of estimating the change in momentum along characteristics of regular electric fields inside bounded spatial domains.As direct consequences,the propagation of the momentum moments and the existence of weak solution satisfying the balance of total energy are obtained.
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| 关 键 词： | Vlasov-Poisson方程 Vlasov-Maxwell方程 弱解 电场 初-边值问题 |
| 收稿时间： | 2005-10-19 |
Weak Solutions for the Vlasov-Poisson Initial-Boundary Value Problem with Bounded Electric Field |
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| Mihai BOSTAN. Weak Solutions for the Vlasov-Poisson Initial-Boundary Value Problem with Bounded Electric Field[J]. Chinese Annals of Mathematics,Series B, 2007, 28(4): 389-420. DOI: 10.1007/s11401-005-0448-6 |
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| Authors: | Mihai BOSTAN |
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| Affiliation: | Laboratoire de Mathématiques, Université de Franche-Comté, 16 route de Gray F-25030 Besancon, France |
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| Abstract: | The aim of this work is to construct weak solutions for the three dimensional Vlasov-Poisson initial-boundary value problem with bounded electric field.The main in- gredient consists of estimating the change in momentum along characteristics of regular electric fields inside bounded spatial domains.As direct consequences,the propagation of the momentum moments and the existence of weak solution satisfying the balance of total energy are obtained. |
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| Keywords: | Vlasov-Poisson equations Vlasov-Maxwell equations Weak solutions |
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