Calculus of Variations and Geometric Measure Theory

S. Kholmatov

Consistency of minimizing movements with smooth mean curvature flow of droplets with prescribed contact-angle in $\mathbb R^3$

created by kholmatov2 on 12 Jan 2024



Inserted: 12 jan 2024
Last Updated: 12 jan 2024

Year: 2024


In this paper we prove that in $\mathbb R^3$ the minimizing movement solutions for mean curvature motion of droplets, obtained in Bellettini, Kholmatov: J. Math. Pures Appl. (2018), starting from a regular droplets sitting on the horizontal plane with a regular relative adhesion coefficient, coincide with the smooth mean curvature flow of droplets with a prescribed contact-angle.

Tags: GeMeThNES
, GeoMeG