THE ENERGY CONSERVATION OF VLASOV-POISSON SYSTEMS*

  • Jingpeng ,
  • Wu ,
  • Xianwen Zhang
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  • School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, China
Jingpeng Wu, E-mail: d201980015@hust.edu.cn

Received date: 2021-12-07

  Revised date: 2022-03-31

  Online published: 2023-04-12

Supported by

This work was supported by the National Natural Science Foundation of China (11871024).

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 $m>9/4$.

Cite this article

Jingpeng , Wu , Xianwen Zhang . THE ENERGY CONSERVATION OF VLASOV-POISSON SYSTEMS*[J]. Acta mathematica scientia, Series B, 2023 , 43(2) : 668 -674 . DOI: 10.1007/s10473-023-0212-6

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