50 citations · 265 across the 22 of their papers we have counts for
4 papers · 1 filter
The instability of near-extreme Stokes waves
Bernard Deconinck, Sergey A. Dyachenko, Pavel M. Lushnikov +1
We study the stability of Stokes waves on a free surface of an ideal fluid of infinite depth. For small steepness the modulational instability dominates the dynamics, but its growt…
Almost extreme waves
Sergey A. Dyachenko, Vera Mikyoung Hur, Denis A. Silantyev
Numerically computed with high accuracy are periodic traveling waves at the free surface of a two dimensional, infinitely deep, and constant vorticity flow of an incompressible inv…
Superharmonic Instability of Stokes Waves
Alexander O. Korotkevich, Pavel M. Lushnikov, Anastassiya A. Semenova +1
A stability of nearly limiting Stokes waves to superharmonic perturbations is considered numerically. The new, previously inaccessible branches of superharmonic instability were in…
Dynamics of D fluid in bounded domain via conformal variables
Alexander Chernyavsky, Sergey Dyachenko
In the present work we compute numerical solutions of an integro-differential equation for traveling waves on the boundary of a D blob of an ideal fluid in the presence of surfa…