THE ENERGY CONSERVATION OF VLASOV-POISSON SYSTEMS*

doi:10.1007/s10473-023-0212-6

数学物理学报(英文版) ›› 2023, Vol. 43 ›› Issue (2): 668-674.doi: 10.1007/s10473-023-0212-6

THE ENERGY CONSERVATION OF VLASOV-POISSON SYSTEMS^*

Jingpeng, Wu, Xianwen Zhang^†

School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China

收稿日期:2021-12-07 修回日期:2022-03-31 出版日期:2023-03-25 发布日期:2023-04-12
通讯作者: †Xianwen ZHANG, E-mail: xwzhang@hust.edu.cn.
作者简介:Jingpeng Wu, E-mail: d201980015@hust.edu.cn
基金资助:
This work was supported by the National Natural Science Foundation of China (11871024).

THE ENERGY CONSERVATION OF VLASOV-POISSON SYSTEMS^*

Jingpeng, Wu, Xianwen Zhang^†

School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China

Received:2021-12-07 Revised:2022-03-31 Online:2023-03-25 Published:2023-04-12
Contact: †Xianwen ZHANG, E-mail: xwzhang@hust.edu.cn.
About author:Jingpeng Wu, E-mail: d201980015@hust.edu.cn
Supported by:
This work was supported by the National Natural Science Foundation of China (11871024).

摘要/Abstract

摘要： We prove that energy conservation holds for weak solutions to classical Vlasov-Poisson systems with proper regularity. In particular, there exists a solution that conserves energy with $|v|^mf_0\in L^1_{x,v}$ for $m>9/4$.

关键词: Vlasov-Poisson system, weak solutions, energy conservation

Abstract: We prove that energy conservation holds for weak solutions to classical Vlasov-Poisson systems with proper regularity. In particular, there exists a solution that conserves energy with $|v|^mf_0\in L^1_{x,v}$ for $m>9/4$.

Key words: Vlasov-Poisson system, weak solutions, energy conservation

Jingpeng, Wu, Xianwen Zhang. THE ENERGY CONSERVATION OF VLASOV-POISSON SYSTEMS^*[J]. 数学物理学报(英文版), 2023, 43(2): 668-674.

Jingpeng, Wu, Xianwen Zhang. THE ENERGY CONSERVATION OF VLASOV-POISSON SYSTEMS^*[J]. Acta mathematica scientia,Series B, 2023, 43(2): 668-674.

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