INTERFACE ESTIMATES FOR THE FULLY ANISOTROPIC ALLEN-CAHN EQUATION AND ANISOTROPIC MEAN-CURVATURE FLOW

DOI10.1142/S0218202596000456zbMath0873.35039MaRDI QIDQ3125106

Charles M. Elliott, Maurizio Paolini, Reiner Michael Schätzle

Publication date: 26 October 1997

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

zero-level setinterface of the flow

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60)

Related Items (9)

Geometrical image segmentation by the Allen-Cahn equation ⋮ On a uniform approximation of motion by anisotropic curvature by the Allen-Cahn equations ⋮ Diffuse-interface treatment of the anisotropic mean-curvature flow. ⋮ Asymptotic Behavior of Fronts and Pulses of the Bidomain Model ⋮ Motion by crystalline-like mean curvature: A survey ⋮ Stability of Front Solutions of the Bidomain Allen–Cahn Equation on an Infinite Strip ⋮ Mathematical Model of Freezing in a Porous Medium at Micro-Scale ⋮ Global existence of a solution to a phase field model for supercooling ⋮ Stability of Front Solutions of the Bidomain Equation

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