Existence and approximation of manifolds for the Swift-Hohenberg equation with a parameter

DOI10.1155/2018/1423170zbMath1417.35058OpenAlexW2843077633MaRDI QIDQ1726967

Dong-Long Li, Chun Xiao Guo, Yan-feng Guo

Publication date: 20 February 2019

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2018/1423170

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Invariant manifold theory for dynamical systems (37D10) Semilinear parabolic equations (35K58)

Cites Work

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• Approximation of Stochastic Invariant Manifolds
• Nonvariational real Swift-Hohenberg equation for biological, chemical, and optical systems
• Attractors for modulation equations on unbounded domains-existence and comparison
• On hydrodynamic instabilities, chaos and phase transition
• Geometric shape of invariant manifolds for a class of stochastic partial differential equations
• Existence of a Center Manifold in a Practical Domain around $L_1$ in the Restricted Three-Body Problem

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