Minimizing movements for mean curvature flow of droplets with prescribed contact angle

被引：6

作者：

Bellettini, G. ^{[1
,2
]}

Kholmatov, Sh Yu ^{[2
,3
,4
]}

机构：

[1] Univ Siena, Dipartimento Ingn Informaz & Sci Matemat, Via Roma 56, I-53100 Siena, Italy

[2] Abdus Salaam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy

[3] SISSA, Via Bonomea 265, I-34136 Trieste, Italy

[4] Univ Vienna, Dept Math, Oskar Morgenstern Pl 1, A-1090 Vienna, Austria

来源：

JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES | 2018年 / 117卷

关键词：

Mean curvature flow with prescribed contact angle; Sets of finite perimeter; Capillary functional; Minimizing movements; GENERALIZED MOTION; TRIPLE JUNCTIONS; SURFACES; REGULARITY; EVOLUTION; EXISTENCE; GRAPHS; MODEL;

D O I：

10.1016/j.matpur.2018.06.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the mean curvature motion of a droplet flowing by mean curvature on a horizontal hyperplane with a possibly nonconstant prescribed contact angle. Using the solutions constructed as a limit of an approximation algorithm of Almgren-Taylor-Wang and Luckhaus-Sturzenhecker, we show the existence of a weak evolution, and its compatibility with a distributional solution. We also prove various comparison results. (C) 2018 Elsevier Masson SAS. All rights reserved.

引用

页码：1 / 58

页数：58

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