238 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Nantes UniversitéFR266 papers
- Centre National de la Recherche ScientifiqueFR187 papers
- Université de NantesFR152 papers
- École Centrale de NantesFR48 papers
- Laboratoire de Mathématiques d'OrsayFR36 papers
- Institut de recherche mathématique de RennesFR25 papers
- Institut FourierFR25 papers
- Université Paris-SudFR25 papers
- Université Paris-SaclayFR17 papers
- Institut national de recherche en sciences et technologies du numériqueFR12 papers
- Analyse, Géométrie et ModélisationFR11 papers
- Institut de Mathématiques de BordeauxFR11 papers
7 papers · 2 filters
An analytical solution of Shallow Water system coupled to Exner equation
Christophe Berthon, Stéphane Cordier, Minh H. Le +1
In this paper, an exact smooth solution for the equations modeling the bedload transport of sediment in Shallow Water is presented. This solution is valid for a large family of sed…
Resonant dynamics for the quintic non linear Schrödinger equation
Benoît Grebert, Laurent Thomann
We consider the quintic nonlinear Schrödinger equation (NLS) on the circle. We prove that there exist solutions corresponding to an initial datum built on four Fourier modes which…
High frequency resolvent estimates for perturbations by large long-range magnetic potentials and applications to dispersive estimates
Fernando Cardoso, Claudio Cuevas, Georgi Vodev
We prove optimal high-frequency resolvent estimates for perturbations of the Laplacian by large long-range magnetic and electric potentials in all dimensions . As an applic…
Normalizations with exponentially small remainders for nonautonomous analytic periodic vector fields
Tiphaine Jézéquel
In this paper we deal with analytic nonautonomous vector fields with a periodic time-dependancy, that we study near an equilibrium point. In a first part, we assume that the linear…
Propagation of low regularity for solutions of nonlinear PDEs on a Riemannian manifold with a sub-Laplacian structure
Frédéric Bernicot, Yannick Sire
Following \cite{B2}, we introduce a notion of para-products associated to a semi-group. We do not use Fourier transform arguments and the background manifold is doubling, endowed w…
A perturbation result for the Riesz transform
Baptiste Devyver
We show a perturbation result for the boundedness of the Riesz transform : if and are complete Riemannian manifolds satisfying a Sobolev inequality of dimension , whic…
Nonlinear quasimodes near elliptic periodic geodesics
Pierre Albin, Hans Christianson, Jeremy L. Marzuola +1
We consider the nonlinear Schrödinger equation on a compact manifold near an elliptic periodic geodesic. Using a geometric optics construction, we construct quasimodes to a nonline…