The motion of a collisionless plasma is modeled by solutions to the Vlasov–Maxwell system. The Cauchy problem for the relativistic Vlasov–Maxwell system is studied in the case when the phase space distribution function f = f(t,x,v) depends on the time t, and . Global existence of classical solutions is obtained for smooth data of unrestricted size. A sufficient condition for global smooth solvability is known from [12]: smooth solutions can break down only if particles of the plasma approach the speed of light. An a priori bound is obtained on the velocity support of the distribution function, from which the result follows.
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Similar content being viewed by others Explore related subjectsDiscover the latest articles and news from researchers in related subjects, suggested using machine learning. Author information Authors and AffiliationsDepartment of Mathematics, Indiana University, Bloomington, IN 47405--5701, USA. ¶E-mail: glassey@indiana.edu, , , , , , US
R. Glassey
Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213, USA. ¶E-mail: js5m+@andrew.cmu.edu, , , , , , US
J. Schaeffer
Received: 18 March 1996/Accepted: 29 July 1996
About this article Cite this articleGlassey, R., Schaeffer, J. The “Two and One–Half Dimensional” Relativistic Vlasov Maxwell System . Comm Math Phys 185, 257–284 (1997). https://doi.org/10.1007/s002200050090
Issue Date: May 1997
DOI: https://doi.org/10.1007/s002200050090
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