198 citations · 237 across the 9 of their papers we have counts for
10 papers
Large-amplitude steady downstream water waves
Adrian Constantin, Walter Strauss, Eugen Varvaruca
We study wave-current interactions in two-dimensional water flows of constant vorticity over a flat bed. For large-amplitude periodic traveling waves that propagate at the water su…
Singularities in axisymmetric free boundaries for ElectroHydroDynamic equations
Mariana Smit Vega Garcia, Eugen Varvaruca, Georg S. Weiss
We consider singularities in the ElectroHydroDynamic equations. In a regime where we are allowed to neglect surface tension, and assuming that the free surface is given by an injec…
Global bifurcation of steady gravity water waves with critical layers
Adrian Constantin, Walter Strauss, Eugen Varvaruca
We construct large families of two-dimensional travelling water waves propagating under the influence of gravity in a flow of constant vorticity over a flat bed. A Riemann-Hilbert…
Singularities of axisymmetric free surface flows with gravity
Eugen Varvaruca, Georg S. Weiss
We consider a steady axisymmetric solution of the Euler equations for a fluid (incompressible and with zero vorticity) with a free surface, acted on only by gravity. We analyze sta…
Equivalence of weak formulations of the steady water waves equations
Eugen Varvaruca, Arghir Zarnescu
We prove the equivalence of three weak formulations of the steady water waves equations, namely the velocity formulation, the stream function formulation, and the Dubreil-Jacotin f…
Steady periodic water waves with constant vorticity: regularity and local bifurcation
Adrian Constantin, Eugen Varvaruca
This paper studies periodic traveling gravity waves at the free surface of water in a flow of constant vorticity over a flat bed. Using conformal mappings the free-boundary problem…