50 citations · 265 across the 22 of their papers we have counts for
15 papers · 1 filter
Self-similarity and recurrence in stability spectra of near-extreme Stokes waves
Bernard Deconinck, Sergey A. Dyachenko, Anastassiya Semenova
We consider steady surface waves in an infinitely deep two--dimensional ideal fluid with potential flow, focusing on high-amplitude waves near the steepest wave with a 120 degree c…
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…
Free Surface in 2D Potential Flow: Singularities, Invariants and Virtual Fluid
A. I. Dyachenko, S. A. Dyachenko, V. E. Zakharov
We study a 2D potential flow of an ideal fluid with a free surface with decaying conditions at infinity. By using the conformal variables approach, we study a particular solution o…
Short branch cut approximation in D Hydrodynamics with Free Surface
A. I. Dyachenko, S. A. Dyachenko, P. M. Lushnikov +1
A potential motion of ideal incompressible fluid with a free surface and infinite depth is considered in two-dimensional geometry. A time-dependent conformal mapping of the lower c…
Traveling capillary waves on the boundary of a disc
Sergey A. Dyachenko
We find a new class of solutions that are traveling waves on the boundary of two--dimensional droplet of ideal fluid. We assume that the free surface is subject only to the force o…
Stokes waves in a constant vorticity flow
Sergey A. Dyachenko, Vera Mikyoung Hur
The Stokes wave problem in a constant vorticity flow is formulated via a conformal mapping as a modified Babenko equation. The associated linearized operator is self-adjoint, where…
Stokes waves with constant vorticity: II. folds, gaps and fluid bubbles
Sergey A. Dyachenko, Vera Mikyoung Hur
The Stokes wave problem in a constant vorticity flow is formulated, by virtue of conformal mapping techniques, as a nonlinear pseudodifferential equation, involving the periodic Hi…
On the dynamics of a free surface of an ideal fluid in a bounded domain in the presence of surface tension
Sergey A. Dyachenko
We derive a set of equations in conformal variables that describe a potential flow of an ideal inviscid fluid with free surface in a bounded domain. This formulation is free of num…
Stokes waves with constant vorticity: I. numerical computation
Sergey A. Dyachenko, Vera Mikyoung Hur
Periodic traveling waves are numerically computed in a constant vorticity flow subject to the force of gravity. The Stokes wave problem is formulated via a conformal mapping as a n…
New conformal mapping for adaptive resolving of the complex singularities of Stokes wave
Pavel M. Lushnikov, Sergey A. Dyachenko, Denis A. Silantyev
A new highly efficient method is developed for computation of traveling periodic waves (Stokes waves) on the free surface of deep water. A convergence of numerical approximation is…
Branch cuts of Stokes wave on deep water. Part I: Numerical solution and Padé approximation
S. A. Dyachenko, P. M. Lushnikov, A. O. Korotkevich
Complex analytical structure of Stokes wave for two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth is analyzed. Stokes wave is th…
The complex singularity of a Stokes wave
S. A. Dyachenko, P. M. Lushnikov, A. O. Korotkevich
Two-dimensional potential flow of the ideal incompressible fluid with free surface and infinite depth can be described by a conformal map of the fluid domain into the complex lower…