Remarks on Leray's self-similar solutions to the 3D magnetohydrodynamic equations

被引：2

作者：

Benbernou, Samia ^{[1
]}

Ragusa, Maria Alessandra ^{[2
]}

Terbeche, Mekki ^{[3
]}

机构：

[1] Univ Mostaganem, Dept Math, Mostaganem 27000, Algeria

[2] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

[3] Univ Oran, Dept Math, Fac Sci, Oran 31000, Algeria

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2014年 / 37卷 / 17期

关键词：

magnetohydrodynamic equations; Morrey-Campanato space; self-similar solution; BMO space; NAVIER-STOKES EQUATIONS; REGULARITY CRITERION; WEAK SOLUTIONS; SPACES;

D O I：

10.1002/mma.3001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we examine small self-similar solutions of the 3D incompressible magnetohydrodynamic equations in homogenous function spaces and show the uniqueness of self-similar solutions when the velocity field is small in some homogeneous function spaces. This extend the recent results given by C. He and Z. Xin. On the self-similar solutions of the magneto-hydro-dynamic equations. Acta Mathematica Scientia, serie B English Edition 2009; 29 (3): 583-598. It is a natural way to extend the space widely and improve the previous results. Copyright (c) 2013 John Wiley & Sons, Ltd.

引用

页码：2615 / 2618

页数：4

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