On isolated vorticity regions beneath the water surface

Octavian G. Mustafa

doi:10.3934/cpaa.2012.11.1523

Article Contents

2012, Volume 11, Issue 4: 1523-1535. Doi: 10.3934/cpaa.2012.11.1523

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On isolated vorticity regions beneath the water surface

Octavian G. Mustafa^1,

1.
University of Vienna, Faculty of Mathematics, Nordbergstrasse 15, A-1090 Vienna

Received: December 31, 2010

Revised: May 31, 2011

Published: June 2012

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Abstract

We present a class of vorticity functions that will allow for isolated, circular vorticity regions in the background of still water, preceding the arrival of waves at the shoreline.

Keywords:

Mathematics Subject Classification: Primary: 37E35; Secondary: 37E45, 76B15, 76B47.

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