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
9 papers · 1 filter
Adaptive modeling of shallow fully nonlinear gravity waves
Denys Dutykh, Didier Clamond, Dimitrios Mitsotakis
This paper presents an extended version of the celebrated Serre-Green-Naghdi (SGN) system. This extension is based on the well-known Bona-Smith-Nwogu trick which aims to improve th…
A plethora of generalised solitary gravity-capillary water waves
Didier Clamond, Denys Dutykh, Angel Duran
The present study describes, first, an efficient algorithm for computing capillary-gravity solitary waves solutions of the irrotational Euler equations with a free surface and, sec…
Resonance enhancement by suitably chosen frequency detuning
Denys Dutykh, Elena Tobisch
In this Letter we report new effects of resonance detuning on various dynamical parameters of a generic 3-wave system. Namely, for suitably chosen values of detuning the variation…
A new run-up algorithm based on local high-order analytic expansions
Gayaz Khakimzyanov, Nina Shokina, Denys Dutykh +1
The practically important problem of the wave run-up is studied in this article in the framework of Nonlinear Shallow Water Equations (NSWE). The main novelty consists in the usage…
Kostant section, universal centralizer, and a modular derived Satake equivalence
Simon Riche
We prove analogues of fundamental results of Kostant on the universal centralizer of a connected reductive algebraic group for algebraically closed fields of positive characteristi…
The Whitham Equation as a Model for Surface Water Waves
Daulet Moldabayev, Henrik Kalisch, Denys Dutykh
The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham e…
On the nonlinear dynamics of the traveling-wave solutions of the Serre system
Dimitrios Mitsotakis, Denys Dutykh, John D. Carter
We numerically study nonlinear phenomena related to the dynamics of traveling wave solutions of the Serre equations including the stability, the persistence, the interactions and t…
Nonlinear waves in networks: a simple approach using the sine-Gordon equation
Jean-Guy Caputo, Denys Dutykh
To study the propagation of nonlinear waves across Y- and T-type junctions, we consider the 2D sine--Gordon equation as a model and study the dynamics of kinks and breathers in suc…
Modular perverse sheaves on flag varieties I: tilting and parity sheaves
Pramod N. Achar, Simon Riche
In this paper we prove that the category of parity complexes on the flag variety of a complex connected reductive group is a "graded version" of the category of tilting perverse sh…