Open Access
Translator Disclaimer
2013 Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model
Lei Shi
J. Appl. Math. 2013: 1-8 (2013). DOI: 10.1155/2013/926512

Abstract

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.

Citation

Download Citation

Lei Shi. "Bifurcation Analysis of a Coupled Kuramoto-Sivashinsky- and Ginzburg-Landau-Type Model." J. Appl. Math. 2013 1 - 8, 2013. https://doi.org/10.1155/2013/926512

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950938
MathSciNet: MR3090622
Digital Object Identifier: 10.1155/2013/926512

Rights: Copyright © 2013 Hindawi

JOURNAL ARTICLE
8 PAGES


SHARE
Vol.2013 • 2013
Back to Top