107 citations
- Centre National de la Recherche ScientifiqueFR120 papers
- Université Savoie Mont BlancFR82 papers
- Le LAMAFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR30 papers
- Laboratoire Jean-Alexandre DieudonnéFR14 papers
- Laboratoire de Probabilités, Statistique et ModélisationFR13 papers
- Laboratoire Optimisation de la Conception et Ingénierie de l'EnvironnementFR13 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR12 papers
- University College DublinIE12 papers
- Sorbonne UniversitéFR11 papers
- Université Nice Sophia AntipolisFR11 papers
- Université Grenoble AlpesFR10 papers
22 papers · 1 filter
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…
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…
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…