On the analyticity of periodic gravity water waves with integrable vorticity function
classification
🧮 math.AP
keywords
functiongravityintegrableperiodicvorticitywaterwavesanalyticity
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We prove that the streamlines and the profile of periodic gravity water waves traveling over a flat bed with wavespeed which exceeds the horizontal velocity of all fluid particles are real-analytic graphs if the vorticity function is merely integrable.
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