99 citations · 166 across the 4 of their papers we have counts for
4 papers
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…
Weak turbulence of gravity waves
A. I. Dyachenko, A. O. Korotkevich, V. E. Zakharov
For the first time weak turbulent theory was demonstrated for the surface gravity waves. Direct numerical simulation of the dynamical equations shows Kolmogorov turbulent spectra a…
Decay of the monochromatic capillary wave
A. I. Dyachenko, A. O. Korotkevich, V. E. Zakharov
It was demonstrated by direct numerical simulation that, in the case of weakly nonlinear capillary waves, one can get resonant waves interaction on the discrete grid when resonant…
Weak Turbulent Kolmogorov Spectrum for Surface Gravity Waves
A. I. Dyachenko, A. O. Korotkevich, V. E. Zakharov
We study the long-time evolution of gravity waves on deep water exited by the stochastic external force concentrated in moderately small wave numbers. We numerically implement the…