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arXiv · 2305.13025

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

Tokuhiro Eto·Yoshikazu Giga
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Abstract

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.

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Tokuhiro Eto, Yoshikazu Giga. 2023-05-22. On a minimizing movement scheme for mean curvature flow with prescribed contact angle in a curved domain and its computation. https://arxiv.org/abs/2305.13025

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