Large time behavior for the non-isentropic Navier-Stokes-Maxwell system
Large time behavior for the non-isentropic Navier-Stokes-Maxwell system
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非等熵纳维-斯托克斯-麦克斯韦系统的大时间行为
DOI：
10.1002/mma.3999
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发表时间：
2017
影响因子：
2.9
通讯作者：
Su Yifan
中科院分区：
文献类型：
--
作者：
Liu Qingqing;Su Yifan
本文研究了三维空间中通过洛仑兹力耦合的非等熵可压缩Navier-Stokes方程和麦克斯韦方程组。建立了常稳态附近解的整体存在性，并得到了扰动解的时间衰减率。存在性的证明是由于经典的能量方法，大时间行为的研究是基于非等熵Navier-Stokes-Poisson方程的线性化分析和线性化等熵Navier-Stokes-麦克斯韦方程的电磁部分。同时，改进了Zhang，Li和Zhu [J. Differential Equations，250（2011），866 - 891]针对线性化非等熵Navier-Stokes-Poisson方程获得的时间衰减率。版权所有© 2016约翰威利父子有限公司.
In this paper, we are concerned with the system of the non‐isentropic compressible Navier–Stokes equations coupled with the Maxwell equations through the Lorentz force in three space dimensions. The global existence of solutions near constant steady states is established, and the time‐decay rates of perturbed solutions are obtained. The proof for existence is due to the classical energy method, and the investigation of large‐time behavior is based on the linearized analysis of the non‐isentropic Navier–Stokes–Poisson equations and the electromagnetic part for the linearized isentropic Navier–Stokes–Maxwell equations. In the meantime, the time‐decay rates obtained by Zhang, Li, and Zhu [J. Differential Equations, 250(2011), 866‐891] for the linearized non‐isentropic Navier–Stokes–Poisson equations are improved. Copyright © 2016 John Wiley & Sons, Ltd.