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Absence of shocks in an initially dilute collisionless plasma

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Abstract

The Cauchy Problem for the relativistic Vlasov-Maxwell equations is studied in three space dimensions. It is assumed that the initial data satisfy the required constraints and have compact support. If in addition the data have sufficiently smallC 2 norm, then a uniqueC 1 solution to this system is shown to exist on all of spacetime.

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Authors and Affiliations

  1. Department of Mathematics, Indiana University, 47405, Bloomington, IN, USA

    Robert T. Glassey

  2. Department of Mathematics, Brown University, 02912, Providence, RI, USA

    Walter A. Strauss

Authors
  1. Robert T. Glassey
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  2. Walter A. Strauss
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Additional information

Communicated by C. H. Taubes

Research supported in part by NSF DMS 85-20662 and NSF DMS 84-20957

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Glassey, R.T., Strauss, W.A. Absence of shocks in an initially dilute collisionless plasma. Commun.Math. Phys. 113, 191–208 (1987). https://doi.org/10.1007/BF01223511

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  • DOI: https://doi.org/10.1007/BF01223511

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