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Creators/Authors contains: "Ben-Artzi, Jonathan"

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  1. ; ; (, Kinetic and Related Models)
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  2. ; ; (, Kinetic and Related Models)
    The global-in-time existence of classical solutions to the relativistic Vlasov-Maxwell (RVM) system in three space dimensions remains elusive after nearly four decades of mathematical research. In this note, a simplified "toy model" is presented and studied. This toy model retains one crucial aspect of the RVM system: the phase-space evolution of the distribution function is governed by a transport equation whose forcing term satisfies a wave equation with finite speed of propagation. 
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