A comparison principle for the mean curvature flow equation with discontinuous coefficients (Q341198)
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scientific article; zbMATH DE number 6653328
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A comparison principle for the mean curvature flow equation with discontinuous coefficients |
scientific article; zbMATH DE number 6653328 |
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A comparison principle for the mean curvature flow equation with discontinuous coefficients (English)
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16 November 2016
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Summary: 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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level set equation
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discontinuous velocity
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initial-boundary value problem
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