The relativistic Vlasov-Maxwell-Boltzmann system converges to the isentropic compressible Euler-Poisson system in the combined hydrodynamic and Newtonian limits around irrotational solutions.
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Hydrodynamic limit and Newtonian limit from the relativistic Vlasov-Maxwell-Boltzmann system to the classical Euler-Poisson system
The relativistic Vlasov-Maxwell-Boltzmann system converges to the isentropic compressible Euler-Poisson system in the combined hydrodynamic and Newtonian limits around irrotational solutions.