Global weak solutions for the Vlasov-Poisson system with a point charge

Chen Jing; Zhang Xianwen; Wei Jinbo

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Global weak solutions for the Vlasov-Poisson system with a point charge

机译：带点电荷的Vlasov-Poisson系统的整体弱解

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We study the dynamics of three-dimensional Vlasov-Poisson system in the presence of a point charge with attractive interaction. Compared to the repulsive interaction, we cannot get a priori conversation law. Nevertheless, we are able to obtain bound of kinetic energy by introducing a Lyapunov functional. Combining this result with the concept of Diperna-Lions flow, we establish global existence of weak solutions for this system. Copyright (C) 2014 JohnWiley & Sons, Ltd.

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《Mathematical Methods in the Applied Sciences》 |2015年第17期|共16页
作者
Chen Jing; Zhang Xianwen; Wei Jinbo;
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正文语种 eng
中图分类数学;
关键词
Vlasov-Poisson system; point charge; attractive interaction; weak solution; global existence;

机译：Vlasov-Poisson系统;点电荷;吸引相互作用;弱解;整体存在;

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专利

1. Global weak solutions for the Vlasov-Poisson system with a point charge [J] . Chen Jing, Zhang Xianwen, Wei Jinbo Mathematical Methods in the Applied Sciences . 2015,第17期

机译：带点电荷的Vlasov-Poisson系统的整体弱解
2. Moments propagation for weak solutions of the Vlasov-Poisson system in the three-dimensional torus [J] . Chen Zili, Chen Jing Journal of Mathematical Analysis and Applications . 2019,第1期

机译：三维圆环中Vlasov-Poisson系统弱解决方案的瞬间传播
3. Moment Propagation for Weak Solutions to the Vlasov-Poisson System [J] . Pallard C. Communications in Partial Differential Equations . 2012,第7a9期

机译：Vlasov-Poisson系统弱解的矩传播
4. Existence of Global Weak Solutions for Cauchy-Dirichlet Problem for Evolutional p-Laplacian Systems [C] . Corina Karim, Masashi Misawa International Conference and Workshop on Mathematical Analysis and its Applications . 2017

机译：进化P比系统Cauchy-Dirichlet问题的全球弱解决方案存在
5. Partial regularity of weak solutions of quasilinear elliptic systems and weak Harnack inequalities. [D] . Borovikova, Marina. 2004

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6. Large-voltage behavior of charge transport characteristics in nanosystems with weak electron–vibration coupling [O] . Tomáš Novotný, Wolfgang Belzig 2015

机译：电子-振动耦合弱的纳米系统中电荷传输特性的大电压行为
7. Lagrangian solutions to the Vlasov-Poisson system with a point charge [O] . Crippa, Gianluca, Ligabue, Silvia, Saffirio, Chiara 2017

机译：具有点电荷的Vlasov-poisson系统的拉格朗日解

Global weak solutions for the Vlasov-Poisson system with a point charge

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