We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well-posedness of the level set method.
A comparison principle for the mean curvature flow equation with discontinuous coefficients
De Zan, Cecilia;SORAVIA, PIERPAOLO
2016
Abstract
We study the level set equation in a bounded domain when the velocity of the interface is given by the mean curvature plus a discontinuous velocity. We prove a comparison principle for the initial-boundary value problem whose consequence is uniqueness of continuous solutions and well-posedness of the level set method.
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