Local bifurcation and regularity for steady periodic capillary-gravity water waves with constant vorticity
Local bifurcation and regularity for steady periodic capillary-gravity water waves with constant vorticity
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DOI：
10.1016/j.nonrwa.2012.05.007
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发表时间：
2013-02-01
影响因子：
2
通讯作者：
Martin, Calin Iulian
中科院分区：
文献类型：
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作者：
Martin, Calin Iulian
本文研究了平板上常涡流动中自由水面上的周期性毛细重力波。利用分叉理论，证明了即使在流中存在驻点的情况下，小振幅波的局部存在性。我们还推导了色散关系。此外，我们证明了一个正则性结果的自由表面。(C)2012爱思唯尔有限公司保留所有权利。
We study periodic capillary-gravity waves at the free surface of water in a flow with constant vorticity over a flat bed. Using bifurcation theory the local existence of waves of small amplitude is proved even in the presence of stagnation points in the flow. We also derive the dispersion relation. Moreover, we prove a regularity result for the free surface. (C) 2012 Elsevier Ltd. All rights reserved.