On a coupled Kuramoto–Sivashinsky and Ginzburg–Landau-type model for the Marangoni convection

DOI10.1063/1.531986zbMath0880.76076OpenAlexW2053434844MaRDI QIDQ4345097

Mario Taboada, Charles Bu, Hong-Jun Gao, Jin-qiao Duan

Publication date: 11 February 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531986

zbMATH Keywords

contraction mapping principleexistenceuniquenessglobal solutionscritical Marangoni number

Mathematics Subject Classification ID

Related Items (3)

The asymptotic behavior of the stochastic coupled Kuramoto-Sivashinsky and Ginzburg-Landau equations ⋮ Decay of solutions and structural stability for the coupled Kuramoto-Sivashinsky–Ginzburg-Landau equations ⋮ Global well-posedness of a stochastic coupled Kuramoto–Sivashinsky and Ginzburg–Landau-type model for the Marangoni convection

Cites Work

• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Low-dimensional behaviour in the complex Ginzburg-Landau equation
• Nonlinear waves and turbulence in Marangoni convection
• Interaction between short-scale Marangoni convection and long-scale deformational instability
• A nonlinear instability burst in plane parallel flow

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