Semi–group of conformal mappings of the upper half–plane onto itself with the hydrodynamic normalization at infinity

• Date: 1992
• Main Authors: Горяйнов, В. В., Ба, И., Ba, I.
• Format: Article
• Language: Russian
• Published: Institute of Mathematics, NAS of Ukraine 1992
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/8227
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.