Arkiv för Matematik

Volume 61 (2023)

Number 1

A complex-analytic approach to streamline properties of deep-water Stokes waves

Pages: 81 – 97



Olivia Constantin (Faculty of Mathematics, University of Vienna, Austria)


Using methods from complex analysis we obtain some qualitative results for certain streamline characteristics in a deep-water Stokes flow.


deep-water wave, irrotational flow, conformal map, convexity

2010 Mathematics Subject Classification

Primary 76B15. Secondary 30C20, 30C45.

Received 10 May 2022

Received revised 30 August 2022

Accepted 3 October 2022

Published 26 April 2023