Qualitative properties for a system coupling scaled mean curvature flow and diffusion

DOI10.1016/j.jde.2022.12.019OpenAlexW4313535178MaRDI QIDQ2682619

Helmut Abels, Felicitas Bürger, Harald Garcke

Publication date: 1 February 2023

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.02493

zbMATH Keywords

maximum principlemean curvature flowconvexitygeometric evolution equationdiffusion equation on surfaces

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Comparison principles in context of PDEs (35B51) Quasilinear parabolic equations with mean curvature operator (35K93) Flows related to mean curvature (53E10)

Related Items (3)

Regularization and Separation for Evolving Surface Cahn–Hilliard Equations ⋮ An ALE meshfree method for surface PDEs coupling with forced mean curvature flow ⋮ Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation

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