Horizontal patterns from finite speed directional quenching

DOI10.3934/DCDSB.2018285zbMath1404.35039arXiv1707.09010OpenAlexW2740065978MaRDI QIDQ1756836

Rafael Monteiro

Publication date: 27 December 2018

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.09010

zbMATH Keywords

phase separationspreading speedsAllen-Cahnquenching front

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Maximum principles in context of PDEs (35B50) Second-order elliptic systems (35J47) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51) Pattern formations in context of PDEs (35B36)

Related Items (4)

Growing patterns ⋮ Contact angle selection for interfaces in growing domains ⋮ Fronts in the Wake of a Parameter Ramp: Slow Passage through Pitchfork and Fold Bifurcations ⋮ The Swift-Hohenberg equation under directional-quenching: finding heteroclinic connections using spatial and spectral decompositions

Cites Work

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• Functional analysis, Sobolev spaces and partial differential equations
• Phase separation patterns from directional quenching
• Traveling wave front for the Fisher equation on an infinite band region
• Elliptic Partial Differential Equations of Second Order
• Travelling wavefronts of reaction-diffusion equations in cylindrical domains
• Approximation of a semilinear elliptic problem in an unbounded domain

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