Global weak solutions of Vlasov‐Maxwell systems

  • Diperna R
  • Lions P
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Abstract

We study here the Vlasov-Maxwell system in its classical and relativistic form. We prove the stability of solutions in weak topologies and deduce from this stability result the global existence of a weak solution with large initial data. The main tools consist of a new regularity result for velocity averages of solutions of some general linear transport equations and the method of renormalization introduced by the authors in previous work.

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Authors

  • R. J. Diperna

  • P. L. Lions

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