HOPF-BIFURCATION THEOREM AND STABILITY FOR THE MAGNETO-HYDRODYNAMICS EQUATIONS

被引：1

作者：

Yan, Weiping ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2015年 / 46卷 / 01期

关键词：

Magneto-hydrodynamics equations; periodic solution; Hopf bifurcation; stability; NAVIER-STOKES EQUATIONS; NONLINEAR INSTABILITY; PERIODIC SOLUTIONS;

D O I：

10.12775/TMNA.2015.055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is devoted to the study of the dynamical behavior for the 3D viscous Magneto-hydrodynamics equations. We first prove that this system under smooth external forces possesses time dependent periodic solutions, bifurcating from a steady solution. If the time periodic solution is smooth, then the linear stability of the time periodic solution implies nonlinear stability is obtained in L-p for all p is an element of (3, infinity).

引用

页码：471 / 493

页数：23

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