On the use of the complex method in the study of a vortex free boundary problem (Q1340514)
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scientific article; zbMATH DE number 703297
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the use of the complex method in the study of a vortex free boundary problem |
scientific article; zbMATH DE number 703297 |
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On the use of the complex method in the study of a vortex free boundary problem (English)
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14 December 1994
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The irrotational plane motion induced in an ideal fluid with free boundary by a straight line vortex of infinite length is studied using the complex method. By means of a conformal mapping, the original problem is reduced to a new problem in the unit disc, and using a fixed point argument it is shown that this problem admits one and only one solution for sufficiently small gravity acceleration.
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straight line vortex
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unit disc
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fixed point argument
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