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
20 papers · 1 filter
Run-up amplification of transient long waves
Themistoklis Stefanakis, Shanshan Xu, Denys Dutykh +1
The extreme characteristics of long wave run-up are studied in this paper. First we give a brief overview of the existing theory which is mainly based on the hodograph transformati…
Fast accurate computation of the fully nonlinear solitary surface gravity waves
Didier Clamond, Denys Dutykh
In this short note, we present an easy to implement and fast algorithm for the computation of the steady solitary gravity wave solution of the free surface Euler equations in irrot…
Camassa-Holm type equations for axisymmetric Poiseuille pipe flows
Francesco Fedele, Denys Dutykh
We present a study on the nonlinear dynamics of a disturbance to the laminar state in non-rotating axisymmetric Poiseuille pipe flows. The associated Navier-Stokes equations are re…
Generation of two-dimensional water waves by moving bottom disturbances
Hayk Nersisyan, Denys Dutykh, Enrique Zuazua
We investigate the potential and limitations of the wave generation by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater…
Maximum likelihood estimator consistency for ballistic random walk in a parametric random environment
Francis Comets, Mikael Falconnet, Oleg Loukianov +2
We consider a one dimensional ballistic random walk evolving in an i.i.d. parametric random environment. We provide a maximum likelihood estimation procedure of the environment par…
The Force of a Tsunami on a Wave Energy Converter
Laura O'Brien, Paul Christodoulides, Emiliano Renzi +2
With an increasing emphasis on renewable energy resources, wave power technology is fast becoming a realistic solution. However, the recent tsunami in Japan was a harsh reminder of…
On the modelling of tsunami generation and tsunami inundation
Frédéric Dias, Denys Dutykh, Laura O'Brien +2
While the propagation of tsunamis is well understood and well simulated by numerical models, there are still a number of unanswered questions related to the generation of tsunamis…
Multifractal analysis of some multiple ergodic averages in linear Cookie-Cutter dynamical systems
Ai-Hua Fan, Lingmin Liao, Meng Wu
In this paper, we study the multiple ergodic averages of a locally constant real-valued function in linear Cookie-Cutter dynamical systems. The multifractal spectrum of these multi…
Two properties of volume growth entropy in Hilbert geometry
Bruno Colbois, Patrick Verovic
The aim of this paper is to provide two examples in Hilbert geometry which show that volume growth entropy is not always a limit on the one hand, and that it may vanish for a non-p…
Geometric numerical schemes for the KdV equation
Denys Dutykh, Marx Chhay, Francesco Fedele
Geometric discretizations that preserve certain Hamiltonian structures at the discrete level has been proven to enhance the accuracy of numerical schemes. In particular, numerous s…
Interaction Graphs: Additives
Thomas Seiller
Geometry of Interaction (GoI) is a kind of semantics of linear logic proofs that aims at accounting for the dynamical aspects of cut-elimination. We present here a parametrized con…
Configurations of an Articulated Arm and Singularities of Special Multi-Flags
Fernand Pelletier, Mayada Slayman
P. Mormul has classified the singularities of special multi-flags in terms of "EKR class" encoded by sequences of integers (see [Singularity Theory Seminar, Warsaw…
Solitary wave interaction in a compact equation for deep-water gravity waves
Francesco Fedele, Denys Dutykh
In this study we compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko & Zakhar…
Qualitative properties of certain piecewise deterministic Markov processes
Michel Benaïm, Stéphane Le Borgne, Florent Malrieu +1
We study a class of Piecewise Deterministic Markov Processes with state space Rd x E where E is a finite set. The continuous component evolves according to a smooth vector field th…
Special solutions to a compact equation for deep-water gravity waves
Francesco Fedele, Denys Dutykh
Recently, Dyachenko & Zakharov (2011) have derived a compact form of the well known Zakharov integro-differential equation for the third order Hamiltonian dynamics of a potential f…
Reaching generalized critical values of a polynomial
Zbigniew Jelonek, Krzysztof Kurdyka
Let f be a real or complex polynomial. We give an algorithm to compute the set of generalized critical values. The algorithm uses a finite dimensional space of rational arcs along…
Modified Shallow Water Equations for significantly varying seabeds
Denys Dutykh, Didier Clamond
In the present study, we propose a modified version of the Nonlinear Shallow Water Equations (Saint-Venant or NSWE) for irrotational surface waves in the case when the bottom under…
Wasserstein decay of one dimensional jump-diffusions
Bertrand Cloez
This work is devoted to the Lipschitz contraction and the long time behavior of certain Markov processes. These processes diffuse and jump. They can represent some natural phenomen…
On the well-posedness of the full low-Mach number limit system in general critical Besov spaces
Raphaël Danchin, Xian Liao
This work is devoted to the well-posedness issue for the low-Mach number limit system obtained from the full compressible Navier-Stokes system, in the whole space. In the case wher…
Remarks on the lifespan of the solutions to some models of incompressible fluid mechanics
Raphaël Danchin
We give lower bounds for the lifespan of a solution to the inviscid Boussinesq system. In dimension two, we point out that it tends to infinity when the initial (relative) temperat…