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
28 papers · 1 filter
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…
On Sussmann theorem for orbits of sets of vector fields on Banach manifolds
Arnauld Lathuille, Fernand Pelletier
The purpose of this paper is to give some generalizations, in the context of Banach mani- folds, of Sussmann's results about the orbits of families of vector fields ([Su]). Essenti…
Almost Lie structures on an anchored Banach bundle
Patrick Cabau, Fernand Pelletier
Under appropriate assumptions, we generalize the concept of linear almost Poisson struc- tures, almost Lie algebroids, almost differentials in the framework of Banach anchored bund…
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…
Well-posedness results for the 3D Zakharov-Kuznetsov equation
Francis Ribaud, Stéphane Vento
We prove the local well-posedness of the three-dimensional Zakharov-Kuznetsov equation in the Sobolev spaces , , as well…
Grothendieck ring of semialgebraic formulas and motivic real Milnor fibres
Comte Georges, Fichou Goulwen
We define a Grothendieck ring for basic real semialgebraic formulas, that is for systems of real algebraic equations and inequalities. In this ring the class of a formula takes int…
Skew Killing spinors
Georges Habib, Julien Roth
In this paper, we study the existence of a skew Killing spinor (see the definition below) on 2 and 3-dimensional Riemannian spin manifolds. We establish the integrability condition…
Dispersive waves generated by an underwater landslide
Denys Dutykh, Dimitrios Mitsotakis, Sonya Beysel +1
In this work we study the generation of water waves by an underwater sliding mass. The wave dynamics are assumed to fell into the shallow water regime. However, the characteristic…
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…
On the stability in weak topology of the set of global solutions to the Navier-Stokes equations
Hajer Bahouri, Isabelle Gallagher
Let be a suitable function space and let $\cG \subset X$ be the set of divergence free vector fields generating a global, smooth solution to the incompressible, homogeneous thr…
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…
The almost sure invariance principle for unbounded functions of expanding maps
Jerome Dedecker, Sébastien Gouëzel, Florence Merlevede
We consider two classes of piecewise expanding maps of : a class of uniformly expanding maps for which the Perron-Frobenius operator has a spectral gap in the space of b…
A simple variance inequality for U-statistics of a Markov chain with applications
Gersende Fort, Eric Moulines, Pierre Priouret +1
We establish a simple variance inequality for U-statistics whose underlying sequence of random variables is an ergodic Markov Chain. The constants in this inequality are explicit a…
On the existence of a time inhomogeneous skew Brownian motion and some related laws
Pierre Etore, M. Martinez
This article is devoted to the construction of a solution for the "skew inhomogeneous Brownian motion" equation, which first appear in a seminal paper by Sophie Weinryb (1983). We…
Unsteady mixed flows in non uniform closed water pipes: a Full Kinetic Appraoch
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
We recall the PFS model constructed for the modeling of unsteady mixed flows in closed water pipes where transition points between the free surface and pressurized flow are treated…
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…
A mathematical model for unsteady mixed flows in closed water pipes
Christian Bourdarias, Mehmet Ersoy, Stéphane Gerbi
We present the formal derivation of a new unidirectional model for unsteady mixed flows in non uniform closed water pipe. In the case of free surface incompressible flows, the \FS-…
Some Properties of Inclusions of Multisets and Contractive Boolean Operators
Pierre Hyvernat
Consider the following curious puzzle: call an n-tuple X=(X_1, ..., X_n) of sets smaller than another n-tuple Y if it has fewer //unordered sections//. We show that equivalence cla…
Limit theorems for some branching measure-valued processes
Bertrand Cloez
We consider a particle system in continuous time, discrete population, with spatial motion and nonlocal branching. The offspring's weights and their number may depend on the mother…
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…
Central limit theorems for additive functionals of ergodic Markov diffusions processes
Patrick Cattiaux, Djalil Chafai, Arnaud Guillin
We revisit functional central limit theorems for additive functionals of ergodic Markov diffusion processes. Translated in the language of partial differential equations of evoluti…
Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations
Denys Dutykh, Didier Clamond, Paul Milewski +1
After we derive the Serre system of equations of water wave theory from a generalized variational principle, we present some of its structural properties. We also propose a robust…
The Ginzburg-Landau functional with a discontinuous and rapidly oscillating pinning term. Part II: the non-zero degree case
Mickaël Dos Santos
We consider minimizers of a Ginzburg-Landau energy with a discontinuous and rapidly oscillating pinning term, subject to a Dirichlet boundary condition of degree . The pinni…
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…