数学物理学报(英文版) ›› 2022, Vol. 42 ›› Issue (1): 91-104.doi: 10.1007/s10473-022-0104-1

• 论文 • 上一篇    下一篇

ASYMPTOTIC GROWTH BOUNDS FOR THE VLASOV-POISSON SYSTEM WITH RADIATION DAMPING

麻雅娴1, 张显文2   

  1. 1. School of Science, North University of China, Taiyuan, 030051, China;
    2. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China
  • 收稿日期:2020-08-30 修回日期:2021-05-24 出版日期:2022-02-25 发布日期:2022-02-24
  • 通讯作者: Xianwen ZHANG,E-mail:xwzhang@hust.edu.cn E-mail:xwzhang@hust.edu.cn
  • 作者简介:Yaxian MA,E-mail:myxyxx1994@163.com
  • 基金资助:
    This work was supported by the National Natural Science Foundation of China (11871024).

ASYMPTOTIC GROWTH BOUNDS FOR THE VLASOV-POISSON SYSTEM WITH RADIATION DAMPING

Yaxian MA1, Xianwen ZHANG2   

  1. 1. School of Science, North University of China, Taiyuan, 030051, China;
    2. School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, 430074, China
  • Received:2020-08-30 Revised:2021-05-24 Online:2022-02-25 Published:2022-02-24
  • Contact: Xianwen ZHANG,E-mail:xwzhang@hust.edu.cn E-mail:xwzhang@hust.edu.cn
  • Supported by:
    This work was supported by the National Natural Science Foundation of China (11871024).

摘要: We consider asymptotic behaviors of the Vlasov-Poisson system with radiation damping in three space dimensions. For any smooth solution with compact support, we prove a sub-linear growth estimate of its velocity support. As a consequence, we derive some new estimates of the charge densities and the electrostatic field in this situation.

关键词: Vlasov-Poisson system, radiation damping, asymptotic behavior, velocity support

Abstract: We consider asymptotic behaviors of the Vlasov-Poisson system with radiation damping in three space dimensions. For any smooth solution with compact support, we prove a sub-linear growth estimate of its velocity support. As a consequence, we derive some new estimates of the charge densities and the electrostatic field in this situation.

Key words: Vlasov-Poisson system, radiation damping, asymptotic behavior, velocity support

中图分类号: 

  • 35Q83