Local dissipativity and attractors for the Kuramoto-Sivashinsky equation in thin 2D domains

DOI10.1016/0362-546X(92)90006-ZzbMath0784.35046OpenAlexW2075045755MaRDI QIDQ4008939

George R. Sell, Mario Taboada

Publication date: 27 September 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(92)90006-z

zbMATH Keywords

nonlinear parabolic equationsKuramoto-Sivashinsky equationperiodic boundary conditionglobal existenceglobal asymptotic behaviorperiodic initial conditioncompact attractors

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55)

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Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Infinite-dimensional dynamical systems in mechanics and physics
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Global analysis of the phase portrait for the Kuramoto-Sivashinsky equation
• Some global dynamical properties of a class of pattern formation equations
• Finite-dimensional asymptotic behavior for the Swift-Hohenberg model of convection
• On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problems
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