Oblique and checkerboard patterns in the quenched Cahn-Hilliard model

DOI10.1007/s10884-023-10262-6MaRDI QIDQ6652561

Ben Hosek, Ryan Goh

Publication date: 12 December 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Cahn-Hilliard equationheterogeneityfront solutionsdirectional quenching\(O(2)\)-Hopf bifurcationtransverse patterns

Mathematics Subject Classification ID

Initial-boundary value problems for higher-order parabolic equations (35K35) Periodic solutions to PDEs (35B10) Bifurcations in context of PDEs (35B32) Symmetries of infinite-dimensional dissipative dynamical systems (37L20) Semilinear parabolic equations (35K58) Pattern formations in context of PDEs (35B36) Equivariant dynamical systems (37C81)

Cites Work

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• Phase separation patterns from directional quenching
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• Hopf bifurcation from fronts in the Cahn-Hilliard equation
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• \(O(2)\) Hopf bifurcation of viscous shock waves in a channel
• Pattern formation in the wake of triggered pushed fronts
• Fourier Series in Banach spaces and Maximal Regularity
• Modelling Pattern Formation in Dip-Coating Experiments
• Gluing unstable fronts and backs together can produce stable pulses
• Pattern‐forming fronts in a Swift–Hohenberg equation with directional quenching — parallel and oblique stripes
• The Cahn–Hilliard Equation: Recent Advances and Applications

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