Large amplitude steady periodic waves for fixed-depth rotational flows

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2013-CommPDE-Henry.pdf(263.87 KB)
Accepted version
Date
2013-04-30
Authors
Henry, David
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Publisher
Taylor & Francis
Published Version
10.1080/03605302.2012.734889
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Abstract
We consider steady periodic water waves with vorticity which propagate over a flat bed with a specified fixed mean-depth d > 0. Following a novel reformulation of the governing equations, we use global bifurcation theory to establish a global continuum of solutions throughout which the mean-depth is a fixed quantity. Furthermore, we establish the limiting behavior of solutions in this continuum, which include the existence of weak stagnation points, that are characteristic of large-amplitude steady periodic water waves.
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Keywords
Fixed-depth flows , Global bifurcation , Stagnation points , Steady periodic waves , Vorticity
Citation
Henry, D. (2013) 'Large Amplitude Steady Periodic Waves for Fixed-Depth Rotational Flows'. Communications in Partial Differential Equations, 38 (6), pp. 1015-1037. doi: 10.1080/03605302.2012.734889
URI
http://hdl.handle.net/10468/12191
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Mathematical Sciences- Journal Articles
Copyright
© 2013 Copyright Taylor and Francis Group, LLC. This is an Accepted Manuscript of an article published by Taylor & Francis in Communications in Partial Differential Equations on 30 April 2013, available online: http://www.tandfonline.com/10.1080/03605302.2012.734889