107 citations · 3.2k across the 144 of their papers we have counts for
6 papers · 2 filters
Nonlinear deformation and run-up of single tsunami waves of positive polarity: numerical simulations and analytical predictions
Ahmed Abdalazeez, Ira Didenkulova, Denys Dutykh
The estimate of individual wave run-up is especially important for tsunami warning and risk assessment as it allows to evaluate the inundation area. Here as a model of tsunami we u…
Experimental and numerical study of the propagation of focused wave groups in the nearshore zone
Iskander Abroug, Nizar Abcha, Denys Dutykh +2
The propagation of focused wave groups in intermediate water depth and the shoaling zone is experimentally and numerically considered in this paper. The experiments are carried out…
Free Surface Flows in Electrohydrodynamics with a Constant Vorticity Distribution
Matthew Hunt, Denys Dutykh
In 1895, Korteweg and de Vries (KdV), derived their celebrated equation describing the motion of waves of long wavelength in shallow water. In doing so they made a number of quite…
Dispersive and non-dispersive nonlinear long wave transformations: Numerical and experimental results
Tomas Torsvik, Ahmed Abdalazeez, Denys Dutykh +2
The description of gravity waves propagating on the water surface is considered from a historical point of view, with specific emphasis on the development of a theoretical framewor…
Hamiltonian regularisation of shallow water equations with uneven bottom
Didier Clamond, Denys Dutykh, Dimitrios Mitsotakis
The regularisation of nonlinear hyperbolic conservation laws has been a problem of great importance for achieving uniqueness of weak solutions and also for accurate numerical simul…
On some model equations for pulsatile flow in viscoelastic vessels
Dimitrios Mitsotakis, Denys Dutykh, Qian Li +1
Considered here is the derivation of partial differential equations arising in pulsatile flow in pipes with viscoelastic walls. The equations are asymptotic models describing the p…