On the geometry of Hele-Shaw flows with small surface tension (Q1395976)
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scientific article; zbMATH DE number 1941548
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the geometry of Hele-Shaw flows with small surface tension |
scientific article; zbMATH DE number 1941548 |
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On the geometry of Hele-Shaw flows with small surface tension (English)
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29 June 2003
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Summary: The authors study the time evolution of the free boundary of a viscous fluid in the non-zero-surface-tension models for planar flows in Hele-Shaw cells under injection. Applying methods of conformal map they prove that certain geometric properties, such as starlikeness and directional convexity, are preserved in time.
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Hele-Shaw flow
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surface tension
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methods of conformal map
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