On time-decay rates of strong solutions for the 3D magnetohydrodynamics equations with nonlinear damping

被引：3
|
作者：
Li, Jiedi [1 ,2 ,3 ]
Fu, Shengbin [1 ,2 ,3 ]
Wang, Weiwei [1 ,2 ,3 ]
机构：
[1] Fuzhou Univ, Coll Math & Stat, Fuzhou 350108, Peoples R China
[2] Ctr Appl Math Fujian Prov, Fuzhou 350108, Peoples R China
[3] Key Lab Operat Res & Cybernet Fujian Univ, Fuzhou 350108, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2022年 / 515卷 / 02期
关键词：
Three-dimensional compressible; magnetohydrodynamic fluids; Global existence and uniqueness; Fourier theory; Optimal time-decay rates; RAYLEIGH-TAYLOR INSTABILITY; INVARIANT-MEASURES; CONVERGENCE-RATES; GLOBAL EXISTENCE; SMOOTH SOLUTIONS; WELL-POSEDNESS; BEHAVIOR; DRIVEN;
D O I：
10.1016/j.jmaa.2022.126450
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the existence and time-decay rates of strong solutions with small perturbation to the systems of equations of a compressible magneto-hydrodynamic fluid with nonlinear damping. First we reformulate the system into a perturbation form. Then we establish a priori estimates of solutions, and prove the existence of the global-in-time based on the local existence of unique solutions. Finally we will establish the optimal time-decay rates of the non-homogeneous system by constructing some decay estimates of the linearized system based on the decomposition technique of both the low and high frequencies of solutions as in [40]. (C) 2022 Elsevier Inc. All rights reserved.
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页数：25
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