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

Cheng Feng; Xu Chao-Jiang

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

机译：关于3D理想MHD方程解的GEVREY规律

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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.

机译：在本文中，我们证明了三维不可压缩理想磁流体动力学（MHD）方程解的Gevrey正则性传播。我们还为MHD方程的解获得了Gevrey半径的统一估计。

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来源
《Discrete and continuous dynamical systems》 |2019年第11期|6485-65O6|共17页
作者
Cheng Feng; Xu Chao-Jiang;
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作者单位

Hubei Univ Sch Math & Stat Wuhan 430062 Hubei Peoples R China;

Nanjing Univ Aeronaut & Astronaut Dept Math Nanjing 211106 Jiangsu Peoples R China|Univ Rouen CNRS UMR 6085 Lab Math F-76801 St Etienne Du Rouvray France;

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原文格式 PDF
正文语种 eng
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关键词
Gevrey class regularity; incompressible magnetohydrodynamic equation; analyticity;

机译：Gevrey班级规律性;不可压缩的磁流体动力学方程分析性;

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专利

1. Remark on local boundary regularity condition of a suitable weak solution to the 3D MHD equations [J] . Jae-Myoung Kim Electronic Journal of Qualitative Theory of Differential Equations . 2019,第32期

机译：关于3D MHD方程合适弱解的局部边界规律条件的备注
2. A regularity criterion of smooth solution for the 3D viscous Hall-MHD equations [J] . A. M. Alghamdi, S. Gala, M. A. Ragusa AIMS Mathematics . 2018,第4期

机译：3D粘性Hall-MHD方程光滑解的正则性判据
3. Weighted Regularity Criteria of Weak Solutions to the Incompressible 3D MHD Equations [J] . Kim Jae-Myoung Mathematical physics, analysis, and geometry . 2018,第4期

机译：不可压缩3D MHD方程弱解的加权规则性标准
4. Gevrey Regularity of Solutions to the 3D Navier-Stokes Equations [C] . Animikh Biswas, David Swanson Research Conference on Fluids and Waves: Recent Trends in Applied Analysis . 2007

机译：3D Navier-Stokes方程的解决方案的Gevrey规律
5. On Gevrey regularity of equations of fluid and geophysical fluid dynamics with applications to 2D and 3D turbulence. [D] . Martinez, Vincent R. 2014

机译：关于Gevrey流体和地球物理流体动力学方程的正则性及其在2D和3D湍流中的应用。
6. An Osgood Type Regularity Criterion for the 3D Boussinesq Equations [O] . Qiang Wu, Lin Hu, Guili Liu -1

机译：3D Boussinesq方程的Osgood类型正则性准则
7. On the Gevrey regularity of solutions to the 3D ideal MHD equations [O] . Feng Cheng, Chao-Jiang Xu 2019

机译：关于3D理想MHD方程的解决方案的Gevrey规律性

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

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