THE RELATIVISTIC VLASOV-MAXWELL SYSTEM IN 2 SPACE DIMENSIONS - PART II

Authors
GLASSEY RT SCHAEFFER J
Citation
Rt. Glassey et J. Schaeffer, THE RELATIVISTIC VLASOV-MAXWELL SYSTEM IN 2 SPACE DIMENSIONS - PART II, Archive for Rational Mechanics and Analysis, 141(4), 1998, pp. 355-374
Citations number
29
Categorie Soggetti
Mathematics, Miscellaneous",Mechanics,"Mathematics, Miscellaneous
Journal title
Archive for Rational Mechanics and Analysis → ACNP
ISSN journal
00039527
Volume
141
Issue
4
Year of publication
1998
Pages
355 - 374
Database
ISI
SICI code
0003-9527(1998)141:4<355:TRVSI2>2.0.ZU;2-D
Abstract
The motion of a collisionless plasma is modeled by the Vlasov-Maxwell system. For the relativistic Vlasov-Maxwell system in the plane with s mooth initial data, bounds on particle speeds are derived. In an earli er work [10] it was shown that solutions remain smooth as long as part icle speeds do not approach the speed of light. When these results are combined, it follows that solutions remain smooth for all time.