6 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…
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…