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] A regularity criterion for 2D MHD flows with horizontal dissipation and horizontal magnetic diffusion
Zhang, Lei
Li, Shan
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2015, 21 : 197 - 206
[32] GLOBAL REGULARITY FOR THE 3D AXISYMMETRIC MHD EQUATIONS WITH HORIZONTAL DISSIPATION AND VERTICAL MAGNETIC DIFFUSION
Jiu, Quansen
Liu, Jitao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (01) : 301 - 322
[33] Global Regularity of 2D Incompressible Magneto-Micropolar Fluid Equations with Partial Viscosity
Lin, Hongxia
Liu, Sen
Zhang, Heng
Bai, Ru
ACTA MATHEMATICA SCIENTIA, 2023, 43 (03) : 1275 - 1300
[34] Global Regularity of 2D Incompressible Magneto-Micropolar Fluid Equations with Partial Viscosity
Hongxia Lin
Sen Liu
Heng Zhang
Ru Bai
Acta Mathematica Scientia, 2023, 43 : 1275 - 1300
[35] On global regularity of 2D generalized magnetohydrodynamic equations
Tran, Chuong V.
Yu, Xinwei
Zhai, Zhichun
JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 254 (10) : 4194 - 4216
[36] Global Cauchy problem for a 2D Leray-α-MHD model with zero viscosity
Zhou, Yong
Fan, Jishan
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (04) : 1331 - 1335
[37] Regularity for 3D inhomogeneous incompressible MHD equations with vacuum
Kim, Jae-Myoung
JOURNAL OF MATHEMATICAL PHYSICS, 2022, 63 (11)
[38] Global regularity of 2D magnetic Benard fluid equations with zero kinematic viscosity, almost Laplacian magnetic diffusion and thermal diffusivity
Ma, Liangliang
APPLICABLE ANALYSIS, 2022, 101 (08) : 3082 - 3102
[39] LOCAL AND GLOBAL LOW-REGULARITY SOLUTIONS TO GENERALIZED LERAY-ALPHA EQUATIONS
Pennington, Nathan
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2015,
[40] On the global regularity of the 2D Boussinesq equations with fractional dissipation
Ye, Zhuan
Xu, Xiaojing
Xue, Liutang
MATHEMATISCHE NACHRICHTEN, 2017, 290 (8-9) : 1420 - 1439

← 1 2 3 4 5 →