Global attractor of the extended Fisher-Kolmogorov equation in \(H^k\)spaces

DOI10.1186/1687-2770-2011-39zbMath1273.35059OpenAlexW2103350634WikidataQ59268039 ScholiaQ59268039MaRDI QIDQ362360

Hong Luo

Publication date: 21 August 2013

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2011-39

zbMATH Keywords

iteration procedureregularity estimates

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Asymptotic behavior of solutions to PDEs (35B40) Attractors (35B41) Initial-boundary value problems for second-order parabolic equations (35K20) Semilinear parabolic equations (35K58)

Related Items (5)

Numerical solution for stochastic extended Fisher-Kolmogorov equation ⋮ Dissipative nonconforming virtual element method for the fourth order nonlinear extended Fisher-Kolmogorov equation ⋮ Regularity of global attractor for the fourth-order reaction-diffusion equation ⋮ Global attractors of the \({^{3}\mathrm{He}}\)-\({^{4}\mathrm{He}}\) system in \(H_{\alpha}\) spaces ⋮ A Finite Pointset Method for Extended Fisher–Kolmogorov Equation Based on Mixed Formulation

Cites Work

• Homoclinic solutions for Swift-Hohenberg and suspension bridge type equations
• Homoclinic orbits of two classes of fourth order semilinear differential equations with periodic nonlinearity
• Global attractor of the Cahn-Hilliard equation in \(H^k\) spaces
• Uniqueness of the stationary wave for the extended Fisher-Kolmogorov equation
• Chaotic spatial patterns described by the extended Fisher-Kolmogorov equation
• The existence of global attractors for the norm-to-weak continuous semigroup and application to the nonlinear reaction-diffusion equations
• Some global dynamical properties of a class of pattern formation equations
• Necessary and sufficient conditions for the existence of global attractors for semigroups and applications
• Periodic and homoclinic solutions of extended Fisher-Kolmogorov equations

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