Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model

被引：0

作者：

Shi, Lei ^{[1
,2
,3
]}

机构：

[1] Nanjing Agr Univ, Sch Sci, Nanjing 210095, Jiangsu, Peoples R China

[2] Nanjing Normal Univ, Sch Math Sci, Nanjing 210046, Jiangsu, Peoples R China

[3] Nanjing Normal Univ, Jiangsu Key Lab NSLSCS, Nanjing 210046, Jiangsu, Peoples R China

来源：

JOURNAL OF APPLIED MATHEMATICS | 2013年

关键词：

MARANGONI CONVECTION; PATTERN-FORMATION; EQUATION; INSTABILITY;

D O I：

10.1155/2013/926512

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the bifurcation and stability of trivial stationary solution (0, 0) of coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-type equations (KS-GL) on a bounded domain (0, L) with Neumann's boundary conditions. The asymptotic behavior of the trivial solution of the equations is considered. With the length L of the domain regarded as bifurcation parameter, branches of nontrivial solutions are shown by using the perturbation method. Moreover, local behavior of these branches is studied, and the stability of the bifurcated solutions is analyzed as well.

引用

页数：8

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