Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen–Cahn equation
From MaRDI portal
Publication:3580646
DOI10.1017/S0308210508000541zbMath1204.35026arXiv0906.1331OpenAlexW2000167254MaRDI QIDQ3580646
Matthieu Alfaro, Hiroshi Matano, Harald Garcke, Reiner Michael Schätzle, Danielle Hilhorst
Publication date: 13 August 2010
Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0906.1331
Singular perturbations in context of PDEs (35B25) Comparison principles in context of PDEs (35B51) Quasilinear parabolic equations (35K59)
Related Items (12)
Optimal control of anisotropic Allen-Cahn equations ⋮ Asymptotic Behavior of Fronts and Pulses of the Bidomain Model ⋮ Mean curvature interface limit from Glauber+Zero-range interacting particles ⋮ Asymptotic behavior of spreading fronts in an anisotropic multi-stable equation on \(\mathbb{R}^N\) ⋮ A diffuse-interface approach for solid-state dewetting with anisotropic surface energies ⋮ A novel finite element approximation of anisotropic curve shortening flow ⋮ The anisotropic Cahn-Hilliard equation: regularity theory and strict separation properties ⋮ Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on \(\mathbb{R}^n\) ⋮ Asymptotic behavior of spreading fronts in the anisotropic Allen-Cahn equation on \(\mathbb{R}^n\) ⋮ On the stable discretization of strongly anisotropic phase field models with applications to crystal growth ⋮ Generation, motion and thickness of transition layers for a nonlocal Allen-Cahn equation ⋮ Stability of Front Solutions of the Bidomain Equation
This page was built for publication: Motion by anisotropic mean curvature as sharp interface limit of an inhomogeneous and anisotropic Allen–Cahn equation