On some properties of travelling water waves with vorticity
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🧮 math.AP
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vorticitywavespressuretravellingwateratmosphericclasscorresponding
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We prove that for a large class of vorticity functions the crest of a corresponding travelling water wave is necessarily a point of maximal horizontal velocity. We also show that for waves with nonpositive vorticity the pressure in the flow is everywhere larger than the atmospheric pressure. A related a priori estimate for waves with nonnegative vorticity is also given.
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