Bifurcation of two-dimensional Kuramoto-Sivashinsky equation

DOI10.1007/s11766-998-0018-2zbMath0914.35016OpenAlexW91753888MaRDI QIDQ1272724

Changpin Li, Zhong-hua Yang

Publication date: 27 June 1999

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-998-0018-2

zbMATH Keywords

periodic boundary conditionsteady state solutions

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Boundary value problems for higher-order elliptic equations (35J40) Bifurcations in context of PDEs (35B32)

Related Items (3)

Error analysis and applications of the Fourier-Galerkin Runge-Kutta schemes for high-order stiff PDEs ⋮ Local bifurcations in the Cahn-Hilliard and Kuramoto-Sivashinsky equations and in their generalizations ⋮ A numerical approach to hopf bifurcation points

Cites Work

• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
• Bifurcation and stability of nontrivial solution to kuramoto-sivashinsky equation
• Nonlinear Galerkin Methods

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