107 citations · 3.2k across the 144 of their papers we have counts for
6 papers · 1 filter
Alphabets, rewriting trails and periodic representations in algebraic bases
Denys Dutykh, Jean-Louis Verger-Gaugry
For a real algebraic integer ({\it the base}), the finite alphabets which realize the identity ,…
Extreme Inundation Statistics on a Composite Beach
Ahmed Abdalazeez, Ira Didenkulova, Denys Dutykh +1
The runup of initial Gaussian narrow-banded and wide-banded wave fields and its statistical characteristics are investigated using direct numerical simulations, based on the nonlin…
A Computational Simulation of Steady Natural Convection in an H-form Cavity
Mohamed Loukili, Kamila Kotrasova, Denys Dutykh
The simulation of natural convection problem based on the Galerkin finite-element method, with the penalty finite-element formulation of the momentum balance equation, is exploited…
Poisson and Symplectic structures, Hamiltonian action, momentum and reduction
Vladimir Roubtsov, Denys Dutykh
This manuscript is essentially a collection of lecture notes which were given by the first author at the Summer School Wisl-2019, Poland and written down by the second author. As t…
The Whitham Equation with Surface Tension
Evgueni Dinvay, Daulet Moldabayev, Denys Dutykh +1
The viability of the Whitham equation as a nonlocal model for capillary-gravity waves at the surface of an inviscid incompressible fluid is under study. A nonlocal Hamiltonian syst…
Derivation of an intermediate viscous Serre-Green-Naghdi equation
Denys Dutykh, Hervé Le Meur
In this note we present the current status of the derivation of a viscous Serre-Green-Naghdi system. For this goal, the flow domain is separated into two regions. The upper region…