A level set approach for multi-layered interface systems (Q2226678)
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| Language | Label | Description | Also known as |
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| English | A level set approach for multi-layered interface systems |
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A level set approach for multi-layered interface systems (English)
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9 February 2021
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Summary: In this paper, a multi-layered interface system is introduced, which is formally derived by a singular limit of a weakly coupled system of the Allen-Cahn type equation. By using the level set approach, this system is written as a quasi-monotone degenerate parabolic system with discontinuous functions. The well-posedness of viscosity solutions is shown, and the singularity of particular viscosity solutions is discussed.
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multi-layered interface system
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level set approach
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viscosity solution
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