A uniqueness result for periodic traveling waves in water of #nite depth
نویسنده
چکیده
It is shown that in water of #nite depth, the surface pro#le of a periodic traveling wave uniquely determines the corresponding 2ow in the body of the 2uid. This holds for rotational 2ow as long as the vorticity function ( ) satis#es the condition ′( )maxx∈R (x)¡ . This condition is also shown to be sharp. ? 2004 Elsevier Ltd. All rights reserved.
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تاریخ انتشار 2004