Absence of shocks in an initially dilute collisionless plasma |
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| Authors: | Robert T Glassey Walter A Strauss |
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| Institution: | (1) Department of Mathematics, Indiana University, 47405 Bloomington, IN, USA;(2) Department of Mathematics, Brown University, 02912 Providence, RI, USA |
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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.Research supported in part by NSF DMS 85-20662 and NSF DMS 84-20957 |
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