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.

引用

页码：331 / 354

页数：24

共 50 条

[41] Analysis of the relativistic Vlasov-Maxwell model in an interval
Filbet, F
Guo, Y
Shu, CW
QUARTERLY OF APPLIED MATHEMATICS, 2005, 63 (04) : 691 - 714
[42] Nonlinear relativistic gyrokinetic Vlasov-Maxwell equations
Brizard, AJ
Chan, AA
PHYSICS OF PLASMAS, 1999, 6 (12) : 4548 - 4558
[43] Classical solvability of the relativistic Vlasov-Maxwell system with bounded spatial density
Sospedra-Alfonso, Reinel
Illner, Reinhard
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2010, 33 (06) : 751 - 757
[44] On the 'one and one-half dimensional' relativistic vlasov-maxwell system
Glassey, R.
Schaeffer, J.
Mathematical Methods in the Applied Sciences, 1990, 13 (02)
[45] A PARTICLE SCHEME INCORPORATING AN ELLIPTIC APPROXIMATION FOR THE RELATIVISTIC VLASOV-MAXWELL SYSTEM
MCGILLEN, DJ
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 1995, 16 (06): : 1333 - 1348
[46] LINEAR STABILITY ANALYSIS OF THE RELATIVISTIC VLASOV-MAXWELL SYSTEM IN AN AXISYMMETRIC DOMAIN
Zhang, Katherine Zhiyuan
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2019, 51 (06) : 4683 - 4723
[47] The relativistic Vlasov-Maxwell system: Local smooth solvability for a weak topology
Cheverry, Christophe
Ibrahim, Slim
REVISTA MATEMATICA IBEROAMERICANA, 2025, 41 (02) : 551 - 602
[48] The Vlasov-Maxwell-Fokker-Planck system in two space dimensions
Schaeffer, Jack
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (02) : 302 - 316
[49] Linear stability and instability of relativistic Vlasov-Maxwell systems
Lin, Zhiwu
Strauss, Walter A.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2007, 60 (05) : 724 - 787
[50] On bifurcation of solutions to the Vlasov-Maxwell system
Sidorov, NA
Sinitsyn, AV
SIBERIAN MATHEMATICAL JOURNAL, 1996, 37 (06) : 1199 - 1211

← 1 2 3 4 5 →