Classical solutions and the Glassey-Strauss theorem for the 3D Vlasov-Maxwell system

被引：80

作者：

Bouchut, F

Golse, F

Pallard, C

机构：

[1] Ecole Normale Super, CNRS, F-75230 Paris 05, France

[2] Ecole Normale Super, Dept Math & Applicat, F-75230 Paris, France

[3] Univ Paris 06, Inst Univ France, F-75013 Paris, France

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2003年 / 170卷 / 01期

关键词：

D O I：

10.1007/s00205-003-0265-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

R. Glassey and W. Strauss have proved in [Arch. Rational Mech. Anal. 92 (1986), 59-90] that C-1 solutions to the relativistic Vlasov-Maxwell system in three space dimensions do not develop singularities as long as the support of the distribution function in the momentum variable remains bounded. The present paper simplifies their proof.

引用

页码：1 / 15

页数：15

共 7 条

[1]

BOUCHUT F, IN PRESS REV MAT IBE

[2]

Gelfand I, 1964, GEN FUNCTIONS, V1

[3]

GLASSEY RT, 1986, ARCH RATION MECH AN, V92, P59

[4]

The relativistic Vlasov-Maxwell system in two space dimensions: Part I [J].