ON THE GEVREY REGULARITY OF SOLUTIONS TO THE 3D IDEAL MHD EQUATIONS

被引：5

作者：

Cheng, Feng ^{[1
]}

Xu, Chao-Jiang ^{[2
,3
]}

机构：

[1] Hubei Univ, Sch Math & Stat, Wuhan 430062, Hubei, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 211106, Jiangsu, Peoples R China

[3] Univ Rouen, CNRS UMR 6085, Lab Math, F-76801 St Etienne Du Rouvray, France

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2019年 / 39卷 / 11期

关键词：

Gevrey class regularity; incompressible magnetohydrodynamic equation; analyticity; ANALYTICITY; EXISTENCE;

D O I：

10.3934/dcds.2019281

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove the propagation of the Gevrey regularity of solutions to the three-dimensional incompressible ideal magnetohydrodynamics (MHD) equations. We also obtain an uniform estimate of Gevrey radius for the solution of MHD equation.

引用

页码：6485 / 6506

页数：22

共 50 条

[31] Regularization by transport noises for 3D MHD equations
Luo, Dejun
SCIENCE CHINA-MATHEMATICS, 2023, 66 (06) : 1375 - 1394
[32] Gevrey class regularity for the primitive equations in space dimension 2
Petcu, A
ASYMPTOTIC ANALYSIS, 2004, 39 (01) : 1 - 13
[33] Global strong solutions to the 3D incompressible MHD equations with density-dependent viscosity
Yu, Haibo
Zhang, Peixin
Shi, Xiujuan
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2018, 75 (08) : 2825 - 2834
[34] The Global Strong Solutions of the 3D Incompressible Hall-MHD System with Variable Density
An, Shu
Chen, Jing
Han, Bin
MATHEMATICAL MODELLING AND ANALYSIS, 2024, 29 (02) : 288 - 308
[35] Gevrey class regularity for analytic differential-delay equations
Nussbaum, Roger D.
Vas, Gabriella
ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2016,
[36] Time decay rates for the generalized MHD-α equations in Sobolev-Gevrey spaces
Melo, Wilberclay G.
Rosa Santos, Thyago Souza
APPLICABLE ANALYSIS, 2022, 101 (18) : 6623 - 6644
[37] The global existence and analyticity of a mild solution to the 3D regularized MHD equations
Xiao, Cuntao
Qiu, Hua
Yao, Zheng-an
ACTA MATHEMATICA SCIENTIA, 2024, 44 (03) : 973 - 983
[38] The global existence and analyticity of a mild solution to the 3D regularized MHD equations
Cuntao Xiao
Hua Qiu
Zheng-an Yao
Acta Mathematica Scientia, 2024, 44 : 973 - 983
[39] Existence and analyticity of mild solutions for the 3D rotating Navier–Stokes equations
Jinyi Sun
Minghua Yang
Shangbin Cui
Annali di Matematica Pura ed Applicata (1923 -), 2017, 196 : 1203 - 1229
[40] Gevrey vectors in involutive tube structures and Gevrey regularity for the solutions of certain classes of semilinear systems
Castellanos, Jairo E.
Cordaro, Paulo D.
Petronilho, Gerson
JOURNAL D ANALYSE MATHEMATIQUE, 2013, 119 : 333 - 364

← 1 2 3 4 5 →