The Relativistic Vlasov-Maxwell System in Two Space Dimensions: Part I

被引：0
|
作者：
Robert T. Glassey
Jack Schaeffer
机构：
[1] Department of Mathematics,
[2] Indiana University,undefined
[3] Bloomington,undefined
[4] Indiana,undefined
[5] USA,undefined
[6] Department of Mathematics,undefined
[7] Carnegie Mellon University,undefined
[8] Pittsburgh,undefined
[9] Pennsylvania,undefined
[10] USA,undefined
来源：
Archive for Rational Mechanics and Analysis | 1998年 / 141卷
关键词：
Electromagnetic Field; Integral Representation; Space Dimension; Smooth Solution; Collisionless Plasma;
D O I：
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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：23
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