Communications in Mathematical Sciences

Volume 14 (2016)

Number 2

Gravity water flows with discontinuous vorticity and stagnation points

Pages: 415 – 441



Calin Iulian Martin (Institut für Mathematik, Universität Wien, Austria)

Bogdan-Vasile Matioc (Institut für Angewandte Mathematik, Leibniz Universität. Hannover, Germany)


We construct small-amplitude steady periodic gravity water waves arising as the free surface of water flows that contain stagnation points and possess a discontinuous distribution of vorticity in the sense that the flows consist of two layers of constant but different vorticities. We also describe the streamline pattern in the moving frame for the constructed flows.


irregular vorticity, stagnation points, gravity waves

2010 Mathematics Subject Classification

35J60, 47J15, 76B03, 76B15

Published 14 December 2015