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math.AP2012★ 29 cited
Traveling water waves with compactly supported vorticity
Jalal Shatah, Samuel Walsh, Chongchun Zeng
In this paper, we prove the existence of two-dimensional, traveling, capillary-gravity, water waves with compactly supported vorticity. Specifically, we consider the cases where th…
math.AP2012
Steady water waves in the presence of wind
Samuel Walsh, Oliver Bühler, Jalal Shatah
In this paper we develop an existence theory for small amplitude, steady, two-dimensional water waves in the presence of wind in the air above. The presence of the wind is modeled…