Calculus of Variations and Geometric Measure Theory

G. Bellettini - S. Kholmatov

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

created by kholmatov on 13 Dec 2016



Inserted: 13 dec 2016
Last Updated: 13 dec 2016

Year: 2016


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 minimizing movements method we show the existence of a weak evolution, and its compatibility with a distributional solution. We also prove various comparison results.

Keywords: Sets of finite perimeter, minimizing movements, Mean curvature flow with prescribed contact angle, capillary functional