Work

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

Year: 2025

Type: article

Abstract: In this paper we prove that in $$\mathbb {R}^3$$ the minimizing movement solutions for mean curvature motion of droplets, obtained in Bellettini (JMPA 117:1–58, 2018), coincide with the smooth mean curvature flow of droplets with a prescribed (possibly nonconstant) contact angle.

Source: Calculus of Variations and Partial Differential Equations

DOI: 10.1007/s00526-025-03101-7

Author: Shokhrukh Yu Kholmatov

Institutions: University of Vienna, Samarkand State University named after Sharof Rashidov

Language: English

Topic: Geometric Analysis and Curvature Flows

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,190

Funders: Austrian Science Fund, Universität Wien