On radii of absorbing sets for Kuramoto-Sivashinsky equation

DOI10.1007/BF02454894zbMath0949.76031OpenAlexW2065674429MaRDI QIDQ1818178

Zeng-Rong Liu, Guan-xiang Wang

Publication date: 3 December 2000

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02454894

zbMATH Keywords

Kuramoto-Sivashinsky equationviscosityinertial manifolddecay rateuniform estimateradii of absorbing sets

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Interfacial stability and instability in hydrodynamic stability (76E17)

Cites Work

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• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• A global attracting set for the Kuramoto-Sivashinsky equation
• Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Nonlinear analysis of hydrodynamic instability in laminar flames—II. Numerical experiments
• Stability of the kuramoto‐sivashinsky and related systems

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