Sharp estimates of the distance from a fixed point to the frontier of a Hele-Shaw flow (Q1266323)
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scientific article; zbMATH DE number 1199890
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Sharp estimates of the distance from a fixed point to the frontier of a Hele-Shaw flow |
scientific article; zbMATH DE number 1199890 |
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Sharp estimates of the distance from a fixed point to the frontier of a Hele-Shaw flow (English)
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31 January 1999
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The paper deals with the global shape of a Hele-Shaw flow, produced by the injection of fluid into the narrow gap between two parallel planes. The author translates the problem into a problem concerning the shape of a quadrature domain of a finite positive measure for subharmonic functions. After establishing the existence of quadrature domains, one gives sharp estimates of the distance from a fixed point to the frontier of the domain.
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Hele-Shaw flow
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quadrature domains
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Green function
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finite positive measure for subharmonic functions
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