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Glassey, R.T. and Strauss, W.A. (1986) Singularity Formation in a Collisionless Plasma Could Occur Only at a High Velocities. Archive for Rational Mechanics and Analysis, 9, 59-90.

has been cited by the following article:

• TITLE: Existence and Uniqueness of Global Smooth Solutions for Vlasov Maxwell Equations

  AUTHORS: Lukas Degu Petros

  KEYWORDS: Maxwell Equation, Vlasov Equation, Existence and Uniqueness

  JOURNAL NAME: Advances in Pure Mathematics, Vol.8 No.1, January 29, 2018

  ABSTRACT: Global existence of classical solutions to the relativistic Vlasov-Maxwell system, given sufficiently regular initial data, is a long-standing open problem. The aim of this project is to present in details the results of a paper published in 1986 by Robert Glassey and Walter Strauss. In that paper, a sufficient condition for the global existence of a smooth solution to the relativistic Vlasov-Maxwell system is derived. In the following, the resulting theorem is proved by taking initial data , . A small data global existence result is presented as well.