Existence of global weak solutions and simulations to a Dirichlet problem for a generalized Swift-Hohenberg equation

DOI10.1016/J.NONRWA.2024.104217MaRDI QIDQ6641253

Guomei Zhao, Fan Wu

Publication date: 20 November 2024

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

zbMATH Keywords

pattern formationnumerical experimentglobal weak solutionsgeneralized Swift-Hohenberg model

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Weak solutions to PDEs (35D30) Quasilinear parabolic equations (35K59)

Cites Work

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• Some Canonical Bifurcations in the Swift–Hohenberg Equation
• Pattern formation outside of equilibrium
• Global branches of multi-bump periodic solutions of the Swift-Hohenberg equation
• On periodically modulated rolls in the generalized Swift-Hohenberg equation: Galerkin' approximations

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