Asymptotic growth bounds for the Vlasov-Poisson system

被引：22
|
作者：
Schaeffer, Jack [1 ]
机构：
[1] Carnegie Mellon Univ, Dept Math Sci, Pittsburgh, PA 15213 USA
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 03期
关键词：
GLOBAL SYMMETRIC-SOLUTIONS; 2 SPACE DIMENSIONS; MAXWELL SYSTEM;
D O I：
10.1002/mma.1354
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Batt showed that solutions of the Vlasov-Poisson system remain smooth as long as the particle speeds remain finite. Pfaffelmoser was the first to establish a bound on the particle speeds, completing the existence proof. Horst greatly improved this bound on the particle speeds. This article improves it further. Copyright (C) 2010 John Wiley & Sons, Ltd.
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页码：262 / 277
页数：16
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