Pattern‐forming fronts in a Swift–Hohenberg equation with directional quenching — parallel and oblique stripes

DOI10.1112/jlms.12122zbMath1395.35024arXiv1708.03815OpenAlexW2750426039MaRDI QIDQ4584331

Ryan Goh, Arnd Scheel

Publication date: 30 August 2018

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.03815

zbMATH Keywords

continuous spectrumeffect of domain growthFredholm theory in weighted spacesstep-like parameter dependence

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Developmental biology, pattern formation (92C15) Homoclinic and heteroclinic trajectories for nonlinear problems in mechanics (70K44) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Crystals in solids (74N05) Linear operators and ill-posed problems, regularization (47A52) Semilinear parabolic equations (35K58) Pattern formations in context of PDEs (35B36)

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