Convergence rates for the Allen-Cahn equation with boundary contact energy: the non-perturbative regime

DOI10.1007/s00526-022-02307-3zbMath1503.53166arXiv2112.11173OpenAlexW4293215819WikidataQ113904930 ScholiaQ113904930MaRDI QIDQ2674622

Maximilian Moser, Sebastian Hensel

Publication date: 14 September 2022

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11173

zbMATH Keywords

mean curvature flowrelative entropyAllen-Cahn equationnonlinear Robin boundary conditiongradient flow calibrations

Mathematics Subject Classification ID

Reaction-diffusion equations (35K57) Initial-boundary value problems for second-order parabolic equations (35K20) Nonlinear initial, boundary and initial-boundary value problems for nonlinear parabolic equations (35K61) Flows related to mean curvature (53E10)

Related Items (2)

The Sharp Interface Limit of a Navier–Stokes/Allen–Cahn System with Constant Mobility: Convergence Rates by a Relative Energy Approach ⋮ Weak-strong uniqueness for volume-preserving mean curvature flow

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