# On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation

arXiv: https://arxiv.org/abs/2305.13025 · HTML: https://mlsanity.com/paper/2305.13025/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 22 May 2023.

## Built on by (most cited first, 1 of 1)

- [A mean curvature flow arising in adversarial training](https://mlsanity.com/paper/2404.14402/) (2024)

## Abstract (arXiv)

We introduce a capillary Chambolle type scheme for mean curvature flow with prescribed contact angle. Our scheme includes a capillary functional instead of just the total variation. We show that the scheme is well-defined and has consistency with the energy minimizing scheme of Almgren-Taylor-Wang type. Moreover, for a planar motion in a strip, we give several examples of numerical computation of this scheme based on the split Bregman method instead of a duality method.