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Global relaxation and nonrelativistic limit of nonisentropic Euler‐Maxwell systems

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The aim of this paper is to investigate smooth solutions to Cauchy (or periodic) problem for a nonisentropic Euler‐Maxwell system with small parameters. For initial data close to constant equilibrium… Click to show full abstract

The aim of this paper is to investigate smooth solutions to Cauchy (or periodic) problem for a nonisentropic Euler‐Maxwell system with small parameters. For initial data close to constant equilibrium states, we prove the global‐in‐time convergence of the Euler‐Maxwell system as parameters go to zero. The limit systems are the drift‐diffusion system and the nonisentropic Euler‐Poisson system, respectively.

Keywords: system; euler maxwell; euler; nonisentropic euler

Journal Title: Mathematical Methods in the Applied Sciences
Year Published: 2020

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