Communications in Mathematical Sciences
Volume 14 (2016)
Gravity water flows with discontinuous vorticity and stagnation points
Pages: 415 – 441
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