Global Existence to the Vlasov-Poisson System and Propagation of Moments Without Assumption of Finite Kinetic Energy

被引：29

作者：

Chen, Zili ^{[1
]}

Zhang, Xianwen ^{[2
]}

机构：

[1] Nanchang Univ, Sch Sci, Dept Math, Nanchang 330031, Jiangxi, Peoples R China

[2] Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Hubei, Peoples R China

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2016年 / 343卷 / 03期

基金：

中国国家自然科学基金;

关键词：

CLASSICAL-SOLUTIONS; LARGE VELOCITIES; SPACE MOMENTS; TIME DECAY; REGULARITY; EQUATIONS;

D O I：

10.1007/s00220-016-2616-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider classical as well as weak solutions to the three dimensional Vlasov-Poisson system. Without assuming finiteness of kinetic energy, we prove global existence of classical solutions by assuming the initial datum is smooth enough and has a compact velocity-spatial support, which will be specified in Theorem 1.1. We also establish some propagation results for low moments of weak solutions.

引用

页码：851 / 879

页数：29

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