Global Solution of the 3D Relativistic Vlasov-Poisson System for a Class of Large Data

被引：1

作者：

Wang, Xuecheng ^{[1
,2
]}

机构：

[1] Tsinghua Univ, YMSC, Beijing 100084, Peoples R China

[2] BIMSA, Beijing 100084, Peoples R China

来源：

JOURNAL OF STATISTICAL PHYSICS | 2023年 / 190卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Large data global solution; Relativistic Vlasov-Poisson; Moments method; SYMMETRIC-SOLUTIONS; EXISTENCE; EQUATION;

D O I：

10.1007/s10955-023-03178-4

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

For a class of arbitrary large initial data with radial symmetry or cylindrical symmetry, we prove the existence of global solutions for the 3D relativistic Vlasov-Poisson system for the plasma physics case. The compact support assumption is not imposed for both cases. The essential lower bound assumption of the angular momentum in the previous work of Glassey and Schaeffer (Math Methods Appl Sci 24:143-157, 2001) is not imposed on the initial data for the cylindrical symmetry case.

引用

页数：29

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