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arXiv · 1612.04175

Minimizing movements for mean curvature flow of droplets with prescribed contact angle

Giovanni Bellettini·Shokhrukh Yusufovich Kholmatov
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Abstract

We study the mean curvature motion of a droplet flowing by mean curvature on a horizontal hyperplane with a possibly nonconstant prescribed contact angle. Using the minimizing movements method we show the existence of a weak evolution, and its compatibility with a distributional solution. We also prove various comparison results.

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Giovanni Bellettini, Shokhrukh Yusufovich Kholmatov. 2016-12-13. Minimizing movements for mean curvature flow of droplets with prescribed contact angle. https://arxiv.org/abs/1612.04175

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