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.
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页码：469 / 490
页数：22
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