publication . Article . 2008

On Some Properties of Traveling Water Waves with Vorticity

Eugen Varvaruca;
Open Access English
  • Published: 01 Jan 2008
  • Publisher: Society for Industrial and Applied Mathematics
  • Country: United Kingdom
We prove that for a large class of vorticity functions the crests of any corresponding traveling gravity water wave of finite depth are necessarily points of maximal horizontal velocity. We also show that for waves with nonpositive vorticity the pressure everywhere in the fluid is larger than the atmospheric pressure. A related a priori estimate for waves with nonnegative vorticity is also given.
arXiv: Physics::Fluid Dynamics
free text keywords: Applied Mathematics, Analysis, Computational Mathematics, Gravity wave, Breaking wave, Positive vorticity advection, A priori estimate, Vorticity, Potential vorticity, Vorticity equation, Dispersion (water waves), Mathematical analysis, Mathematics
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