Low Complexity Solutions of the Allen–Cahn Equation on Three-spheres

DOI10.4153/CMB-2018-033-4zbMath1414.53027arXiv1803.04830OpenAlexW2963086124WikidataQ129560796 ScholiaQ129560796MaRDI QIDQ5377454

Robert Haslhofer, Mohammad N. Ivaki

Publication date: 24 May 2019

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04830

zbMATH Keywords

phase transitionAllen-Cahn equationsmall index

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Global Riemannian geometry, including pinching (53C20)

Cites Work

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• Mean curvature flow with surgery
• Stable phase interfaces in the van der Waals–Cahn–Hilliard theory
• The role of minimal surfaces in the study of the Allen-Cahn equation
• On the bumpy metrics theorem for minimal submanifolds
• Mean curvature flow with surgery of mean convex surfaces in \(\mathbb R^3\)

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