Communications in Mathematical Sciences

Volume 14 (2016)

Number 2

Gravity water flows with discontinuous vorticity and stagnation points

Pages: 415 – 441

DOI: https://dx.doi.org/10.4310/CMS.2016.v14.n2.a5

Authors

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

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

Abstract

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.

Keywords

irregular vorticity, stagnation points, gravity waves

2010 Mathematics Subject Classification

35J60, 47J15, 76B03, 76B15

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Published 14 December 2015