Global Existence and Optimal Convergence Rates of Solutions for Three-Dimensional Electromagnetic Fluid System

被引：2

作者：

Li, Yin ^{[1
]}

Wei, Ruiying ^{[1
]}

Yao, Zheng-an ^{[2
]}

机构：

[1] Shaoguan Univ, Sch Math & Stat, Shaoguan 512005, Peoples R China

[2] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 02期

基金：

中国国家自然科学基金;

关键词：

electromagnetic fluid; decay rates; Fourier-splitting method; 35Q30; 76N15; 76P05; 82C40; ASYMPTOTIC-BEHAVIOR; EQUATIONS; DECAY; MOTION;

D O I：

10.1007/s10473-019-0212-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we study the electromagnetic fluid system in three-dimensional whole space (3). Under assumption of small initial data, we establish the unique global solution by energy method. Moreover, we obtain the time decay rates of the higher-order spatial derivatives of the solution by combining the L-p - L-q estimates for the linearized equations and an elaborate energy method when the L-1-norm of the perturbation is bounded.

引用

页码：469 / 490

页数：22

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