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
16 papers · 1 filter
Kantorovich duality for general transport costs and applications
Nathael Gozlan, Cyril Roberto, Paul-Marie Samson +1
We introduce a general notion of transport cost that encompasses many costs used in the literature (including the classical one and weak transport costs introduced by Talagrand and…
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…
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…
Kinetic entropy inequality and hydrostatic reconstruction scheme for the Saint-Venant system
Emmanuel Audusse, François Bouchut, Marie-Odile Bristeau +1
A lot of well-balanced schemes have been proposed for discretizing the classical Saint-Venant system for shallow water flows with non-flat bottom. Among them, the hydrostatic recon…
Robust Geometry Estimation using the Generalized Voronoi Covariance Measure
Louis Cuel, Jacques-Olivier Lachaud, Quentin Mérigot +1
The Voronoi Covariance Measure of a compact set K of R^d is a tensor-valued measure that encodes geometric information on K and which is known to be resilient to Hausdorff noise bu…
Observation of the Inverse Energy Cascade in the modified Korteweg-de Vries Equation
Denys Dutykh, Elena Tobisch
In this Letter we demonstrate for the first time the formation of the inverse energy cascade in the focusing modified Korteweg-de Vries (mKdV) equation. We study numerically the pr…
Numerical approximation of doubly reflected BSDEs with jumps and RCLL obstacles
Roxana Dumitrescu, Céline Labart
We study a discrete time approximation scheme for the solution of a doubly reflected Backward Stochastic Differential Equation (DBBSDE in short) with jumps, driven by a Brownian mo…
Upper and lower fast Khintchine spectra in continued fractions
Lingmin Liao, Michal Rams
For an irrational number , let be its continued fraction expansion. Let be a function with $ψ(n)/n\…
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…
A geometric study of Wasserstein spaces: isometric rigidity in negative curvature
Jérôme Bertrand, Benoît Kloeckner
Given a metric space X, one defines its Wasserstein space W2(X) as a set of sufficiently decaying probability measures on X endowed with a metric defined from optimal transportatio…
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…
Minimization of energy per particle among Bravais lattices in R^2 : Lennard-Jones and Thomas-Fermi cases
Laurent Bétermin, Peng Zhang
We study the two dimensional Lennard-Jones energy per particle of lattices and we prove that the minimizer among Bravais lattices with sufficiently large density is triangular and…
A nonlinear general Neumann problem involving two critical
Rejeb Hadiji, Habib Yazidi
We discuss the existence of solutions of nonlinear problem involving,two critical Sobolev exponents. we will ll out the su cient conditions to nd solutions for the problem in prese…
On the lack of compactness on stratified Lie groups
Chieh-Lei Wong
In , the characterization of the \mbox{lack of compactness of the continuous Sobolev injection }, with $ \displaystyle{\frac{s}{…