Algebraic decay of weak solutions to 3D Navier-Stokes equations in general unbounded domains

被引：0

作者：

Liu, Zhaoxia ^{[1
]}

机构：

[1] Minzu Univ China, Sch Sci, Dept Informat & Computat Sci, Beijing 100081, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2020年 / 491卷 / 01期

关键词：

Navier-Stokes equations; Weak solution; Unbounded domain; Algebraic decay; LARGE TIME BEHAVIOR; ASYMPTOTIC-BEHAVIOR; FLOWS; SPACE;

D O I：

10.1016/j.jmaa.2020.124300

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the decay properties of a weak solution to the nonstationary Navier-Stokes equations by means of the spectral decomposition method of fractional powers of the Stokes operator, in an arbitrary unbounded domain. The explicit L-2-decay rates are given as t -> infinity, which improves greatly the decay results in [8,9]. (C) 2020 Elsevier Inc. All rights reserved.

引用

页数：16

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