Global regularity of 2D incompressible Leray-alpha-MHD equations with only magnetic diffusion

被引：1

作者：

Wen, Zhihong ^{[1
]}

机构：

[1] Jiangsu Normal Univ, Dept Math & Stat, 101 Shanghai Rd, Xuzhou 221116, Jiangsu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 475卷 / 01期

关键词：

Leray-alpha-MHD equations; Global regularity; Fractional Laplacian; CAUCHY-PROBLEM;

D O I：

10.1016/j.jmaa.2019.02.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the global regularity for the two-dimensional incompressible Leray-alpha-MHD equations with only magnetic diffusion. More precisely, when the diffusive term for the magnetic field is a half Laplacian, the solution initiated from data sufficiently smooth preserves its regularity. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：782 / 789

页数：8

共 50 条

[31] Stability of 2D inviscid MHD equations with only fractional magnetic diffusion in the horizontal direction
Zhong, Yueyuan
APPLIED MATHEMATICS LETTERS, 2025, 163
[32] Stability of 2D inviscid MHD equations with only vertical magnetic diffusion on T2
Zheng, Yiming
Zhu, Yi
JOURNAL OF MATHEMATICAL PHYSICS, 2023, 64 (11)
[33] Global classical solutions of 2D MHD system with only magnetic diffusion on periodic domain
Zhou, Yi
Zhu, Yi
JOURNAL OF MATHEMATICAL PHYSICS, 2018, 59 (08)
[34] Global regularity for 2D magneto-micropolar equations with only micro-rotational velocity dissipation and magnetic diffusion
Shang, Haifeng
Zhao, Jiefeng
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2017, 150 : 194 - 209
[35] On the uniqueness for the 2D MHD equations without magnetic diffusion
Wan, Renhui
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2016, 30 : 32 - 40
[36] Global regularity of 2D MHD equations with almost Laplacian velocity dissipation
Li, Linrui
Hong, Mingli
BOUNDARY VALUE PROBLEMS, 2023, 2023 (01)
[37] Global regularity for logarithmically critical 2D MHD equations with zero viscosity
Agelas, Leo
MONATSHEFTE FUR MATHEMATIK, 2016, 181 (02): : 245 - 266
[38] Global regularity of 2D MHD equations with almost Laplacian velocity dissipation
Linrui Li
Mingli Hong
Boundary Value Problems, 2023
[39] Global Regularity for the 2D MHD Equations with Partial Hyper-resistivity
Dong, Bo-Qing
Li, Jingna
Wu, Jiahong
INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2019, 2019 (14) : 4261 - 4280
[40] Global regularity for logarithmically critical 2D MHD equations with zero viscosity
Léo Agélas
Monatshefte für Mathematik, 2016, 181 : 245 - 266

← 1 2 3 4 5 →