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Global solutions to the relativistic Vlasov-Poisson-Fokker-Planck system

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  • Global solutions to the relativistic Vlasov-Poisson-Fokker-Planck system near the relativistic Maxwellian are constructed based on an approach by combining the compensating function and energy method. In addition, an exponential rate in time of the solution to its equilibrium is obtained.
    Mathematics Subject Classification: Primary: 82D10; Secondary: 35Q84.


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