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A non-relativistic model of plasma physics containing a radiation reaction term

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  • While a fully relativistic collisionless plasma is modeled by the Vlasov-Maxwell system a good approximation in the non-relativistic limit is given by the Vlasov-Poisson system. We modify the Vlasov-Poisson system so that damping due to the relativistic effect of radiation reaction is included. We prove existence and uniqueness as well as higher regularity of local classical solutions. Our results also include the higher regularity of classical solutions of the Vlasov-Poisson system depending on the regularity of the initial datum.

    Mathematics Subject Classification: Primary:35B30, 35L60, 78A40;Secondary:82C21, 82C22, 82D10.


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