Évolution d'une interface par capillarité et diffusion de volume. I: Existence locale en temps (Q1062208)
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scientific article; zbMATH DE number 3912873
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Évolution d'une interface par capillarité et diffusion de volume. I: Existence locale en temps |
scientific article; zbMATH DE number 3912873 |
Statements
Évolution d'une interface par capillarité et diffusion de volume. I: Existence locale en temps (English)
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1984
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We prove the existence locally in time for the following problem: a curve moves with velocity equal to the normal derivative of a harmonic function, whose boundary value is given by the curvature of the curve (here in the case of an initial curve graph of a smooth function).
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interface evolution
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potential kernels
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fixed point
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contraction mapping
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existence
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0.86433935
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0.8633804
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0.8378804
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