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 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
10 papers · 1 filter
Numerical simulation of a solitonic gas in KdV and KdV-BBM equations
Denys Dutykh, Efim Pelinovsky
The collective behaviour of soliton ensembles (i.e. the solitonic gas) is studied using the methods of the direct numerical simulation. Traditionally this problem was addressed in…
Visco-potential flows in electrohydrodynamics
Matthew Hunt, Denys Dutykh
In this study we consider the problem of the interface motion under the capillary-gravity and an external electric forces. The infinitely deep fluid layer is assumed to be viscous,…
The Vervaat transform of Brownian bridges and Brownian motion
Titus Lupu, Jim Pitman, Wenpin Tang
For a continuous function , define the Vervaat transform , where corresponds to the fir…
Evolution of Random Wave Fields in the Water of Finite Depth
Denys Dutykh
The evolution of random wave fields on the free surface is a complex process which is not completely understood nowadays. For the sake of simplicity in this study we will restrict…
Numerical study of the generalised Klein-Gordon equations
Denys Dutykh, Marx Chhay, Didier Clamond
In this study, we discuss an approximate set of equations describing water wave propagating in deep water. These generalized Klein-Gordon (gKG) equations possess a variational form…
Some special solutions to the Hyperbolic NLS equation
Laurent Vuillon, Denys Dutykh, Francesco Fedele
The Hyperbolic Nonlinear Schrodinger equation (HypNLS) arises as a model for the dynamics of three-dimensional narrowband deep water gravity waves. In this study, the Petviashvili…
Extreme wave runup on a vertical cliff
Francesco Carbone, Denys Dutykh, John M. Dudley +1
Wave impact and run-up onto vertical obstacles are among the most important phenomena which must be taken into account in the design of coastal structures. From linear wave theory,…
Poisson ensembles of loops of one-dimensional diffusions
Titus Lupu
We study the analogue of Poisson ensembles of Markov loops ('loop soups') in the setting of one-dimensional diffusions. We give a detailed description of the corresponding intensit…
Efficient computation of steady solitary gravity waves
Denys Dutykh, Didier Clamond
An efficient numerical method to compute solitary wave solutions to the free surface Euler equations is reported. It is based on the conformal mapping technique combined with an ef…
Formality of derived intersections
Julien Grivaux
We study derived intersections of smooth analytic cycles, and provide in some cases necessary and sufficient conditions for this intersection be formal. In particular, if X is a co…