On Asymptotic Speed of Solutions to Level-Set Mean Curvature Flow Equations with Driving and Source Terms

DOI10.1137/15M1052755zbMath1355.35123arXiv1512.03742MaRDI QIDQ2827751

Yoshikazu Giga, Hung V. Tran, Hiroyoshi Mitake

Publication date: 21 October 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.03742

zbMATH Keywords

obstacle problemcrystal growthdiscontinuous source termasymptotic speedforced mean curvature equation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Quasilinear parabolic equations with mean curvature operator (35K93)

Related Items (10)

On obstacle problem for mean curvature flow with driving force ⋮ Quasiconvexity preserving property for fully nonlinear nonlocal parabolic equations ⋮ Existence of an effective burning velocity in a cellular flow for the curvature \(G\)-equation proved using a game analysis ⋮ Capillary-type boundary value problems of mean curvature flows with force and transport terms on a bounded domain ⋮ Unnamed Item ⋮ Remarks on large time behavior of level-set mean curvature flow equations with driving and source terms ⋮ A level set approach for multi-layered interface systems ⋮ Finite-Time Self-Organized-Criticality on Synchronized Infinite Grids ⋮ Existence of asymptotic speed of solutions to birth and spread type nonlinear partial differential equations ⋮ Level-set forced mean curvature flow with the Neumann boundary condition

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