On asymptotic speed of solutions to level-set mean curvature flow\n equations with driving and source terms

2015/12/11 by Yoshikazu Giga, Giga, Yoshikazu, Hiroyoshi Mitake +3 · 1 citation
Computer Science · Mathematics · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1512.03742

openalex publication_date 2015/12/11 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

We investigate a model equation in the crystal growth, which is described by\na level-set mean curvature flow equation with driving and source terms. We\nestablish the well-posedness of solutions, and study the asymptotic speed.\nInterestingly, a new type of nonlinear phenomena in terms of asymptotic speed\nof solutions appears, which is very sensitive to the shapes of source terms.\n

Cited by

• Large-time Behavior for a Cutoff Level-Set Mean Curvature G-equation with Source term

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