Phase separation patterns from directional quenching

DOI10.1007/s00332-017-9361-xzbMath1378.35031arXiv1609.05760OpenAlexW2522072163MaRDI QIDQ1682989

Rafael Monteiro, Arnd Scheel

Publication date: 6 December 2017

Published in: Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.05760

zbMATH Keywords

Cahn-HilliardAllen-Cahnbistable systems

Mathematics Subject Classification ID

Nonlinear higher-order PDEs (35G20) Semilinear parabolic equations (35K58) Comparison principles in context of PDEs (35B51) Pattern formations in context of PDEs (35B36)

Related Items (11)

SPATIAL HAMILTONIAN IDENTITIES FOR NONLOCALLY COUPLED SYSTEMS ⋮ Wavenumber selection via spatial parameter jump ⋮ 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 mathematics of mechanobiology and cell signaling. Abstracts from the workshop held February 25--March 3, 2018 ⋮ Bifurcations of front motion in passive and active Allen–Cahn-type equations ⋮ Horizontal patterns from finite speed directional quenching ⋮ Invasion Fronts Outside the Homoclinic Snaking Region in the Planar Swift--Hohenberg Equation ⋮ The Swift-Hohenberg equation under directional-quenching: finding heteroclinic connections using spatial and spectral decompositions ⋮ Spectral stability of pattern-forming fronts in the complex Ginzburg–Landau equation with a quenching mechanism

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A variational approach to reaction-diffusion equations with forced speed in dimension 1
• Persistence versus extinction under a climate change in mixed environments
• Can a species keep pace with a shifting climate?
• Functional analysis, Sobolev spaces and partial differential equations
• Saddle solutions of the bistable diffusion equation
• On the Structure of Spectra of Modulated Travelling Waves
• Continuation and Bifurcation of Grain Boundaries in the Swift--Hohenberg Equation
• Approximation of a semilinear elliptic problem in an unbounded domain
• Pattern‐forming fronts in a Swift–Hohenberg equation with directional quenching — parallel and oblique stripes
• The Spectral Flow and the Maslov Index
• On the stability of the saddle solution of Allen–Cahn's equation
• Persistence and Spread of a Species with a Shifting Habitat Edge
• Deformation of striped patterns by inhomogeneities
• Recent theoretical developments on the formation of Liesegang patterns

This page was built for publication: Phase separation patterns from directional quenching