Optimal time decay of the compressible micropolar fluids
Optimal time decay of the compressible micropolar fluids
复制标题
可压缩微极性流体的最佳时间衰减
DOI：
10.1016/j.jde.2016.01.037
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发表时间：
2016-05-15
影响因子：
2.4
通讯作者：
Zhang, Peixin
中科院分区：
文献类型：
--
作者：
Liu, Qingqing;Zhang, Peixin
本文主要研究可压缩微极流体方程组Cauchy问题解的大时间性态，该方程组是经典Navier-Stokes方程组的推广。在正则Sobolev空间中，建立了具有严格正常密度、零速度和微转动速度的定态在小扰动下的渐近稳定性.在L-2范数下，密度和速度都以（1 +t）（-3/4）的速率时间渐近地趋向于相应的平衡态，微转动速度也以较快的速率（1 +t）（-5/4）趋向于平衡态.证明是基于频谱分析和时间加权能量估计。(C)2016 Elsevier Inc. All rights reserved.
This paper primarily studies the large-time behavior of solutions to the Cauchy problem on the compressible micropolar fluid system which is a generalization of the classical Navier-Stokes system. The asymptotic stability of the steady state with the strictly positive constant density, the vanishing velocity, and micro-rotational velocity is established under small perturbation in regular Sobolev space. Moreover, it turns out that both the density and the velocity tend time-asymptotically to the corresponding equilibrium state with rate (1 +t)(-3/4) in L-2 and the micro-rotational velocity also tends to the equilibrium state with the faster rate (1 +t)(-5/4) in L-2 norm. The proof is based on the spectrum analysis and time-weighted energy estimate. (C) 2016 Elsevier Inc. All rights reserved.