On some properties of travelling water waves with vorticity

Abstract

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.

References in corpus (2)

• Bernoulli free-boundary problems in strip-like domains and a property of permanent waves in water of finite depth
• On the existence of extreme waves and the Stokes conjecture with vorticity

Cited by in corpus (2)

• On the existence of extreme waves and the Stokes conjecture with vorticity
• Unstable surface waves in running water