107 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Centre National de la Recherche ScientifiqueFR169 papers
- Université Savoie Mont BlancFR162 papers
- Laboratoire d’Analyse et de Mathématiques AppliquéesFR85 papers
- Institut National des Sciences Mathématiques et de leurs InteractionsFR69 papers
- Laboratoire de Mathématiques Blaise PascalFR33 papers
- Laboratoire Jean-Alexandre DieudonnéFR21 papers
- Laboratoire Optimisation de la Conception et Ingénierie de l'EnvironnementFR21 papers
- Université Grenoble AlpesFR19 papers
- Université Paris-Est CréteilFR19 papers
- University College DublinIE17 papers
- Université Nice Sophia AntipolisFR16 papers
- Pontifícia Universidade Católica do ParanáBR15 papers
9 papers · 2 filters
Boussinesq modeling of surface waves due to underwater landslides
Denys Dutykh, Henrik Kalisch
Consideration is given to the influence of an underwater landslide on waves at the surface of a shallow body of fluid. The equations of motion which govern the evolution of the bar…
Hamiltonian form and solitary waves of the spatial Dysthe equations
Francesco Fedele, Denys Dutykh
The spatial Dysthe equations describe the envelope evolution of the free-surface and potential of gravity waves in deep waters. Their Hamiltonian structure and new invariants are u…
Hamiltonian description and traveling waves of the spatial Dysthe equations
Francesco Fedele, Denys Dutykh
The spatial version of the fourth-order Dysthe equations describe the evolution of weakly nonlinear narrowband wave trains in deep waters. For unidirectional waves, the hidden Hami…
Local Runup Amplification By Resonant Wave Interactions
Themistoklis Stefanakis, Frédéric Dias, Denys Dutykh
Until now the analysis of long wave runup on a plane beach has been focused on finding its maximum value, failing to capture the existence of resonant regimes. One-dimensional nume…
Long wave runup on random beaches
Denys Dutykh, Céline Labart, Dimitrios Mitsotakis
The estimation of the maximum wave sunup height is a problem of practical importance. Most of the analytical and numerical studies are limited to a constant slope plain shore and t…
Derivation of dissipative Boussinesq equations using the Dirichlet-to-Neumann operator approach
Denys Dutykh, Olivier Goubet
The water wave theory traditionally assumes the fluid to be perfect, thus neglecting all effects of the viscosity. However, the explanation of several experimental data sets requir…
Shallow water equations for large bathymetry variations
Denys Dutykh, Didier Clamond
In this study, we propose an improved version of the nonlinear shallow water (or Saint-Venant) equations. This new model is designed to take into account the effects resulting from…
Finite volume schemes for Boussinesq type equations
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis
Finite volume schemes are commonly used to construct approximate solutions to conservation laws. In this study we extend the framework of the finite volume methods to dispersive wa…
Dispersive wave runup on non-uniform shores
Denys Dutykh, Theodoros Katsaounis, Dimitrios Mitsotakis
Historically the finite volume methods have been developed for the numerical integration of conservation laws. In this study we present some recent results on the application of su…