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摘要:
This paper is concerned with the zero-relaxation limits for periodic smooth solutions of the non-isentropic Euler-Maxwell system in a three-dimensional torus prescribing the well/ill-prepared initial data. The non-isentropic Euler-Maxwell system can be reduced to a quasi-linear symmetric hyperbolic system of one order. By observing a special structure of the non-isentropic Euler-Maxwell system, we are able to decouple the system and develop a technique to achieve the a priori H-S estimates, which guarantees the limit for the non-isentropic Euler-Maxwell system as the relaxation time tau -> 0. We realize that the convergence rate of the temperature is the same as the other unknowns in the L-infinity(0, T-1; H-S), but the convergence rate of the temperature is slower than the velocity in L-2(0, T-1; H-S). The zero-relaxation limit presented here is the transport equation coupled with the drift-diffusion system. However, the limit of the isentropic Euler-Maxwell system is the classical drift-diffusion system. This shows the essential difference between the isentropic and non-isentropic Euler-Maxwell systems.
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通讯作者信息:
来源 :
JOURNAL OF NONLINEAR SCIENCE
ISSN: 0938-8974
年份: 2023
期: 5
卷: 33
3 . 0 0 0
JCR@2022
ESI学科: MATHEMATICS;
ESI高被引阀值:9
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