Abstract
The global existence problem is studied for regular solutions of the relativistic Vlasov-Maxwell equations. If it is assumed that the plasma density vanishes a priori for velocities near the speed of light, then regular solutions with arbitrary initial data exist in all of space and time. This assumption is either postulated for a solution or is arranged for all solutions through a modification of the equations themselves.
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Communicated by C. Dafermos
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Glassey, R.T., Strauss, W.A. Singularity formation in a collisionless plasma could occur only at high velocities. Arch. Rational Mech. Anal. 92, 59–90 (1986). https://doi.org/10.1007/BF00250732
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DOI: https://doi.org/10.1007/BF00250732