Semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity
The objects of this study are holomorphic functions, univalent in the upper half–plane, which are complex potentials of infinitely deep flows over a flat bottom with unperturbed flow at infinity. The semigroup of all such functions is determined and its infinitesimal description given.
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| Date: | 1992 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | Russian |
| Published: |
Institute of Mathematics, NAS of Ukraine
1992
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/8227 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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