Decay rates of higher-order norms of solutions to the Navier-Stokes-Landau-Lifshitz system

被引：0

作者：

Ruiying WEI ^{[1
]}

Yin LI ^{[1
]}

Zheng'an YAO ^{[2
]}

机构：

[1] School of Mathematics and Statistics, Shaoguan University

[2] Department of Mathematics, Sun Yat-sen University

来源：

Applied Mathematics and Mechanics(English Edition) | 2018年 / 39卷 / 10期

基金：

中国国家自然科学基金;

关键词：

Navier-Stokes-Landau-Lifshitz system; Fourier-splitting method; decay rate;

D O I：

暂无

中图分类号：

O175 [微分方程、积分方程];

学科分类号：

070104 ;

摘要：

In this paper, we investigate a system of the incompressible Navier-Stokes equations coupled with Landau-Lifshitz equations in three spatial dimensions. Under the assumption of small initial data, we establish the global solutions with the help of an energy method. Furthermore, we obtain the time decay rates of the higher-order spatial derivatives of the solutions by applying a Fourier splitting method introduced by Schonbek(SCHONBEK, M. E. L2decay for weak solutions of the Navier-Stokes equations. Archive for Rational Mechanics and Analysis, 88, 209–222(1985)) under an additional assumption that the initial perturbation is bounded in L1(R3).

引用

页码：1499 / 1528

页数：30

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