12 citations · 19 across the 3 of their papers we have counts for
3 papers
math.CV2007★ 5 cited
Bernoulli free-boundary problems in strip-like domains and a property of permanent waves in water of finite depth
Eugen Varvaruca
We study weak solutions for a class of free boundary problems which includes as a special case the classical problem of traveling waves on water of finite depth. We show that such…
math.AP2007★ 12 cited
On some properties of travelling water waves with vorticity
Eugen Varvaruca
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 f…
math.AP2007★ 2 cited
On the existence of extreme waves and the Stokes conjecture with vorticity
Eugen Varvaruca
This is a study of singular solutions of the problem of traveling gravity water waves on flows with vorticity. We show that, for a certain class of vorticity functions, a sequence…