THE GLOBAL EXISTENCE AND ANALYTICITY OF A MILD SOLUTION TO THE 3D REGULARIZED MHD EQUATIONS

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外文摘要：In this paper,we study the three-dimensional regularized MHD equations with fractional Laplacians in the dissipative and diffusive terms.We establish the global existence of mild solutions to this system with small initial data.In addition,we also obtain the Gevrey class regularity and the temporal decay rate of the solution.

外文关键词：

regularized MHD equationsfractional Laplacianglobal well-posednessana-lyticitydecay rate

作者：

肖存涛、邱华、姚正安

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作者单位：

School of Mathematics and Statistics,Guangdong University of Technology,Guangzhou 510090,China

Department of Mathematics,South China Agricultural University,Guangzhou 510642,China

School of Mathematics,Sun Yat-sen University,Guangzhou 510275,China

基金：

Opening Project of Guangdong Province Key Laboratory of Cyber-Physical SystemNational Natural Science Foundation of ChinaNatural Science Foundation of Guangdong ProvinceQuality Engineering Project of Guangdong ProvinceSCAU Fund for Highlevel University BuildingNational Key Research and Development Program of ChinaNational Natural Science Foundation of ChinaNational Natural Science Foundation of China

项目编号：

2016B030301008111262662016A030313390SCAU-2021-692020YFA07125001197149612126609

出版年：

2024

DOI：

10.1007/s10473-024-0311-z

数学物理学报(英文版)

中科院武汉物理与数学研究所

数学物理学报(英文版)

CSTPCD

影响因子：0.256

ISSN：0252-9602

年,卷(期)：2024.44(3)