On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equations

DOI10.4171/IFB/146zbMath1106.35060OpenAlexW2069372513MaRDI QIDQ851461

Yoshikazu Giga, Takeshi Ohtsuka, Reiner Michael Schätzle

Publication date: 21 November 2006

Published in: Interfaces and Free Boundaries (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/ifb/146

zbMATH Keywords

viscosity solutionanisotropic mean curvature flowcrystalline curvature flowanisotropic Allen-Cahn equation

Mathematics Subject Classification ID

Related Items (7)

Asymptotic behavior of spreading fronts in an anisotropic multi-stable equation on \(\mathbb{R}^N\) ⋮ Motion by crystalline-like mean curvature: A survey ⋮ Large time behavior of the solutions with spreading fronts in the Allen-Cahn equations on \(\mathbb{R}^n\) ⋮ An approximation scheme for the anisotropic and nonlocal mean curvature flow ⋮ Asymptotic behavior of spreading fronts in the anisotropic Allen-Cahn equation on \(\mathbb{R}^n\) ⋮ Very singular diffusion equations: second and fourth order problems ⋮ Existence and uniqueness for anisotropic and crystalline mean curvature flows

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