Asymptotic estimates and stability analysis of Kuramoto-Sivashinsky type models

DOI10.1007/s00028-011-0103-5zbMath1257.35040OpenAlexW2014446118MaRDI QIDQ657036

Milena Stanislavova, Atanas G. Stefanov

Publication date: 13 January 2012

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-011-0103-5

zbMATH Keywords

orbital stabilitynon-resonant regimenonlinear stability, periodic boundary conditions

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Stability in context of PDEs (35B35) A priori estimates in context of PDEs (35B45) Initial value problems for higher-order parabolic equations (35K30)

Related Items (5)

Backward difference formulae for Kuramoto-Sivashinsky type equations ⋮ Subharmonic dynamics of wave trains in the Korteweg‐de Vries/Kuramoto‐Sivashinsky equation ⋮ Unnamed Item ⋮ Asymptotic behavior of solutions for the time-delayed Kuramoto-Sivashinsky equation ⋮ Optimal parameter-dependent bounds for Kuramoto-Sivashinsky-type equations

Cites Work

• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Steady solutions of the Kuramoto-Sivashinsky equation
• Geometric theory of semilinear parabolic equations
• Analyticity for the Kuramoto-Sivashinsky equation
• A global attracting set for the Kuramoto-Sivashinsky equation
• A note on a non-local Kuramoto-Sivashinsky equation
• Instability and Turbulence of Wavefronts in Reaction-Diffusion Systems
• Back in the Saddle Again: A Computer Assisted Study of the Kuramoto–Sivashinsky Equation
• Uncertainty estimates andL₂bounds for the Kuramoto–Sivashinsky equation
• Nonlinear analysis of hydrodynamic instability in laminar flames—I. Derivation of basic equations
• Stability of the kuramoto‐sivashinsky and related systems
• New bounds for the Kuramoto‐Sivashinsky equation
• Stability of the Bunsen Flame Profiles in the Kuramoto–Sivashinsky Equation
• Lieb–Thirring estimates for non-self-adjoint Schrödinger operators

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