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

Authors
GLASSEY RT SCHAEFFER J
Citation
Rt. Glassey et J. Schaeffer, THE RELATIVISTIC VLASOV-MAXWELL SYSTEM IN 2 SPACE DIMENSIONS - PART I, Archive for Rational Mechanics and Analysis, 141(4), 1998, pp. 331-354
Citations number
28
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
331 - 354
Database
ISI
SICI code
0003-9527(1998)141:4<331:TRVSI2>2.0.ZU;2-N
Abstract
A collisionless plasma is modeled by the Vlasov-Maxwell system. For th e relativistic Vlasov-Maxwell system in the plane, integral representa tions of the electromagnetic fields are derived. Using these represent ations it is shown that smooth solutions can break down only if partic les of the plasma approach the speed of light. These results are analo gous to those of GLASSEY & STRAUSS [10] in three dimensions.