26 citations · 26 across the 1 of their papers we have counts for
3 papers
physics.flu-dyn2020★ 26 cited
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…
math.AP2019
Well-posedness for a Whitham-Boussinesq system with surface tension
Evgueni Dinvay
We regard the Cauchy problem for a particular Whitham-Boussinesq system modelling surface waves of an inviscid incompressible fluid layer. The system can be seen as a weak nonlocal…
physics.comp-ph2019
A comparative study of bi-directional Whitham systems
Evgueni Dinvay, Denys Dutykh, Henrik Kalisch
In 1967, Whitham proposed a simplified surface water-wave model which combined the full linear dispersion relation of the full Euler equations with a weakly linear approximation. T…