Global existence and decay of smooth solutions for the 3-D MHD-type equations without magnetic diffusion

被引：0

作者：

REN XiaoXia ^{[1
]}

XIANG ZhaoYin ^{[2
]}

ZHANG ZhiFei ^{[1
]}

机构：

[1] School of Mathematical Sciences, Peking University

[2] School of Mathematical Sciences, University of Electronic Science and Technology of China

来源：

ScienceChina(Mathematics) | 2016年 / 59卷 / 10期

基金：

中国国家自然科学基金;

关键词：

global existence; decay estimates; magneto-hydrodynamical equations; zero magnetic diffusion;

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：

We study the large time behavior of a 3-D MHD(magneto-hydrodynamical)-type system without magnetic diffusion introduced by Lin and Zhang(2014). By using the elementary energy method and interpolation technique, we prove the global existence and decay estimate of smooth solution near the equilibrium state(x3, 0).

引用

页码：1949 / 1974

页数：26

共 50 条

[21] Asymptotic decay of solutions to 3D MHD equations
Wang, Yinxia
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2016, 132 : 115 - 125
[22] Global Mild Solutions and Long Time Decay of 3D Incompressible MHD Equations
Zhang Hui
JOURNAL OF PARTIAL DIFFERENTIAL EQUATIONS, 2018, 31 (04): : 343 - 352
[23] Global existence and exponential decay of strong solutions for the 3D incompressible MHD equations with density-dependent viscosity coefficient
Yang Liu
Zeitschrift für angewandte Mathematik und Physik, 2019, 70
[24] Global existence and exponential decay of strong solutions for the 3D incompressible MHD equations with density-dependent viscosity coefficient
Liu, Yang
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2019, 70 (04):
[25] Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain
Chen, Wenji
Zhang, Zhifei
Zhou, Jianfeng
SCIENCE CHINA-MATHEMATICS, 2022, 65 (02) : 309 - 318
[26] Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain
Wenji Chen
Zhifei Zhang
Jianfeng Zhou
Science China Mathematics, 2022, 65 : 309 - 318
[27] Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain
Wenji Chen
Zhifei Zhang
Jianfeng Zhou
Science China(Mathematics), 2022, 65 (02) : 309 - 318
[28] On the uniqueness for the 2D MHD equations without magnetic diffusion
Wan, Renhui
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 30 : 32 - 40
[29] Global existence and optimal decay rate for the strong solutions in H2 to the 3-D compressible Navier-Stokes equations without heat conductivity
Tan, Zhong
Wang, Huaqiao
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 394 (02) : 571 - 580
[30] Global well-posedness and decay of the 2D incompressible MHD equations with horizontal magnetic diffusion
Lin, Hongxia
Zhang, Heng
Liu, Sen
Sun, Qing
JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (07)

← 1 2 3 4 5 →