Convergence of a non-isentropic Euler–Poisson system for all time

Convergence of a non-isentropic Euler–Poisson system for all time
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一直以来非等熵欧拉-泊松系统的收敛性

DOI:
10.1016/j.matpur.2017.07.017
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发表时间:
2017-08
期刊:
Journal de mathématiques pures et appliquées
影响因子:
--
通讯作者:
Yue Jun Peng
Yue Jun Peng
中科院分区:
其他
文献类型:
--
作者:
Cunming Liu;Yue Jun Peng

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We consider periodic smooth solutions for a non-isentropic Euler–Poisson system with small parameters, in which the momentum and energy equations are partially dissipative. When initial data are close to constant equilibrium states, we prove the global-in-time convergence of the system as parameters go to zero. The limit systems are incompressible Euler equations with dissipation, the drift-diffusion system and the energy-transport system. The proof of the results is based on compactness arguments and uniform energy estimates with respect to the time and the parameters.
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