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

Published 13 Dec 2016 in math.AP | (1612.04175v2)

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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