The relativistic Vlasov-Maxwell system in two space dimensions: Part I

被引：62
|
作者：
Glassey, RT [1 ]
Schaeffer, J
机构：
[1] Indiana Univ, Dept Math, Bloomington, IN 47405 USA
[2] Carnegie Mellon Univ, Dept Math, Pittsburgh, PA 15213 USA
来源：
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 1998年 / 141卷 / 04期
关键词：
D O I：
10.1007/s002050050079
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A collisionless plasma is modeled by the Vlasov-Maxwell system. For the relativistic Vlasov-Maxwell system in the plane, integral representations of the electromagnetic fields are derived. Using these representations it is shown that smooth solutions can break down only if particles of the plasma approach the speed of light. These results are analogous to those of GLASSEY & STRAUSS [10] in three dimensions.
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页码：331 / 354
页数：24
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