A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation

被引：13
|
作者：
Dai, Yichen [1 ,2 ]
Tan, Zhong [1 ,3 ]
Wu, Jiahong [2 ]
机构：
[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China
[2] Oklahoma State Univ, Dept Math, Stillwater, OK 74078 USA
[3] Xiamen Univ, Fujian Prov Key Lab Math Modeling & Sci Comp, Xiamen 361005, Fujian, Peoples R China
来源：
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK | 2019年 / 70卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Fractional dissipation; Large solutions; Magnetohydrodynamic equation; RESISTIVE MHD EQUATIONS; LOCAL EXISTENCE; REGULARITY; 2D; SYSTEM; UNIQUENESS; EULER;
D O I：
10.1007/s00033-019-1193-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The global existence and regularity problem on the magnetohydrodynamic (MHD) equations with fractional dissipation is not well understood for many ranges of fractional powers. This paper examines this open problem from a different perspective. We construct a class of large solutions to the d-dimensional MHD equations with any fractional power. The process presented here actually assesses that an initial data near any function whose Fourier transform lives in a compact set away from the origin always leads to a unique and global solution.
引用
收藏
页数：13
相关论文
共 50 条
12345