Global well-posedness of the Cauchy problem for certain magnetohydrodynamic-α models

被引：3

作者：

Du, Yi ^{[2
]}

Qiu, Hua ^{[1
]}

Zhengan-Yao

机构：

[1] S China Agr Univ, Sch Math & Computat Sci, Sun Yat Sen Univ, Guangzhou, Guangdong, Peoples R China

[2] S China Normal Univ, Sch Math Sci, Guangzhou 510631, Guangdong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2010年 / 33卷 / 13期

关键词：

magnetohydrodynamic; Littlewood-Paley decomposition; global well-posedness; NAVIER-STOKES SYSTEM; CAMASSA-HOLM EQUATIONS; TRAJECTORY ATTRACTOR; WEAK SOLUTIONS; TURBULENCE; REGULARITY;

D O I：

10.1002/mma.1265

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to study the Cauchy problem for certain incompressible magnetohydrodynamics-alpha model. In the Sobolev space with fractional index s>1, we proved the local solutions for any initial data, and global solutions for small initial data. Furthermore, we also prove that as alpha -> 0, the MHD-alpha model reduces to the MHD equations, and the solutions of the MHD-alpha model converge to a pair of solutions for the MHD equations. Copyright (C) 2010 John Wiley & Sons, Ltd.

引用

页码：1545 / 1557

页数：13

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