Existence, Uniqueness and Asymptotic Behavior for the Vlasov-Poisson System with Radiation Damping
查看参考文献17篇
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文摘
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We investigate the Cauchy problem for the Vlasov-Poisson system with radiation damping. By virtue of energy estimate and a refined velocity average lemma, we establish the global existence of nonnegative weak solution and asymptotic behavior under the condition that initial data have finite mass and energy. Furthermore, by building a Gronwall inequality about the distance between the Lagrangian flows associated to the weak solutions, we can prove the uniqueness of weak solution when the initial data have a higher order velocity moment. |
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来源
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Acta Mathematica Sinica. English Series
,2017,33(5):635-656 【核心库】
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DOI
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10.1007/s10114-016-6310-9
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关键词
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Vlasov-Poisson system
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radiation damping
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velocity averages
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weak solution
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uniqueness
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地址
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1.
College of Science, Zhongyuan University of Technology, Zhengzhou, 450007
2.
School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1439-8516 |
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学科
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数学 |
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文献收藏号
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CSCD:5980139
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参考文献 共
17
共1页
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