Motion of sets by curvature and derivative of capacity potential
classification
🧮 math.AP
math.DG
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capacitycurvaturederivativemotionpotentialboundarydrivenestablish
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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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