Motion of sets by curvature and derivative of capacity potential

Published 11 Jan 2017 in math.AP and math.DG | (1701.02837v1)

Abstract: We study a geometric flow where the motion of a set is driven by the mean curvature of its boundary and the normal derivative of its capacity potential. We establish local well-posedness and propose two possible weak formulations that exist after singularities.

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Hui Yu

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