The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary
The time periodic problem of the Navier-Stokes equations in a bounded domain with moving boundary
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DOI：
10.1016/j.nonrwa.2021.103339
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发表时间：
2021-04-21
影响因子：
2
通讯作者：
Wegmann, David
中科院分区：
文献类型：
--
作者：
Farwig, Reinhard;Kozono, Hideo;Wegmann, David
研究了非圆柱时空域上Navier-Stokes方程的时间周期问题。受萨尔（Saal）（2006）关于这类系统的最大正则性的结果的启发，我们在L-q空间中构造了时间周期解，条件是有界区域以小振幅周期运动，并且给定的周期外力很小.证明是基于新的衰减估计相应的非圆柱形时空域问题的抛物型发展方程的解算子。(C)2021爱思唯尔有限公司保留所有权利。
The time periodic problem of the Navier-Stokes equations on a non-cylindrical space-time domain is studied. Motivated by a recent result by Saal (2006) on maximal regularity for this kind of system we construct time periodic solutions in L-q-spaces provided the bounded domain moves periodically with small amplitude and the given periodic external force is small. The proof is based on new decay estimates for the solution operator of parabolic evolution equations corresponding to the non-cylindrical space-time domain problem. (C) 2021 Elsevier Ltd. All rights reserved.