Minimum dimension of total saturation bubble around an isolated source (Q1317795)
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scientific article; zbMATH DE number 536799
| Language | Label | Description | Also known as |
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| English | Minimum dimension of total saturation bubble around an isolated source |
scientific article; zbMATH DE number 536799 |
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Minimum dimension of total saturation bubble around an isolated source (English)
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12 April 1994
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The author investigates the flow in the total saturation zone around an isolated source. The law of filtration from that zone across the free boundary (the depression curve) is a control function, found by solving a variational problem. A strict global minimum of the area of the total saturation bubble is found in explicit form, with proofs of the necessary and sufficient conditions.
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shape optimization
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Joukowski function
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depression curve
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control function
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necessary and sufficient conditions
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