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

Shokhrukh Kholmatov

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arXiv · 2401.06307

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

Shokhrukh Kholmatov

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Abstract

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. Pure Appl. (2018)], coincide with the smooth mean curvature flow of droplets with a prescribed (possibly nonconstant) contact angle.

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Shokhrukh Kholmatov. 2024-01-12. Consistency of minimizing movements with smooth mean curvature flow of droplets with prescribed contact-angle in $\mathbb R^3$. https://arxiv.org/abs/2401.06307

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