Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
type: Item
instance of: scholarly article
title: Translating surfaces of the non-parametric mean curvature flow with prescribed contact angle
zbMATH Open document ID: 0812.35063
DOI: 10.1007/BF01234317
author: Steven J. Altschuler
author: Lang-Fang Wu
published in: Calculus of Variations and Partial Differential Equations
publication date: 1995-05-15T00:00:00Z
review text: The authors study the mean curvature flow of two dimensional graphs over convex domains in \(\mathbb{R}^ 2\) with prescribed contact angle at the boundary. Under some reasonable assumptions they show that such a graph remains smooth and converges as \(t\to\infty\) to a unique graph moving by translation at constant speed. This generalizes an earlier work of the authors [Math. Ann. 295, No. 4, 761-765 (1993; Zbl 0798.35063)] on the one dimensional case, and of \textit{G. Huisken} [J. Differ. Equations 77, No. 2, 369-378 (1989; Zbl 0686.34013)], who proved an analogous result in any dimension for the special case of vertical contact angle.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 58J35
zbMATH DE Number: 509955
zbMATH Keywords: nonparametric mean curvature flow
zbMATH Keywords: prescribed contact angle
reviewed by: John Urbas
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 509955