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
51 papers · 1 filter
Boundary behavior of Robin problems in non-smooth domains
Dorin Bucur, Alessandro Giacomini, Mickaël Nahon
We analyze strict positivity at the boundary for nonnegative solutions of Robin problems in general (non-smooth) domains, e.g. open sets with rectifiable topological boundaries hav…
A new approach to the mean-field limit of Vlasov-Fokker-Planck equations
Didier Bresch, Pierre-Emmanuel Jabin, Juan Soler
This article introduces a novel approach to the mean-field limit of stochastic systems of interacting particles, leading to the first ever derivation of the mean-field limit to the…
Polynomial stabilization of non-smooth direct/indirect elastic/viscoelastic damping problem involving Bresse system
Stéphane Gerbi, Chiraz Kassem, Ali Wehbe
We consider an elastic/viscoelastic transmission problem for the Bresse system with fully Dirichlet or Dirichlet-Neumann-Neumann boundary conditions. The physical model consists of…
Stochastic processes associated to multidimensional parabolic transmission problems in divergence form
Pierre Etore, Miguel Martinez
In this note we define and study the stochastic process in link with a parabolic transmission operator in divergence form. The transmission operator involves a diffr…
Exact controllability and stabilization of locally coupled wave equations : theoretical results
Stéphane Gerbi, Chiraz Kassem, Amina Mortada +1
In this paper, we study the exact controllability and stabilization of a system of two wave equations coupled by velocities with an internal, local control acting on only one equat…
Variation on a theme by Kiselev and Nazarov: H{ö}lder estimates for non-local transport-diffusion, along a non-divergence-free BMO field
Ioann Vasilyev, François Vigneron
We prove uniform Hölder regularity estimates for a transport-diffusion equation with a fractional diffusion operator,and a general advection field in BMO, as long as the order of t…
Augmented Skew-Symetric System for Shallow-Water System with Surface Tension Allowing Large Gradient of Density
Jean-Paul Vila, Gael Richard, Didier Bresch +7
In this paper, we introduce a new extended version of the shallow water equations with surface tension which is skew-symmetric with respect to the L2 scalar product and allows for…
Numerical simulation of Feller's diffusion equation
Denys Dutykh
This article is devoted to Feller's diffusion equation which arises naturally in probabilities and physics (e.g. wave turbulence theory). If discretized naively, this equation may…
From the backward Kolmogorov PDE on the Wasserstein space to propagation of chaos for Mckean-Vlasov SDEs
Noufel Frikha, Paul-Eric Chaudru de Raynal
This article is a continuation of our first work \cite{chaudruraynal:frikha}. We here establish some new quantitative estimates for propagation of chaos of non-linear stochastic di…
Waves Interacting With A Partially Immersed Obstacle In The Boussinesq Regime
D. Bresch, David Lannes, Guy Metivier
This paper is devoted to the derivation and mathematical analysis of a wave-structure interaction problem which can be reduced to a transmission problem for a Boussinesq system. In…
BD Entropy and Bernis-Friedman Entropy
Didier Bresch, Mathieu Colin, Khawla Msheik +2
In this note, we propose in the full generality a link between the BD entropy introduced by D. Bresch andB. Desjardins for the viscous shallow-water equations and the Bernis-Friedm…
Asymptotic analysis of a quantitative genetics model withnonlinear integral operator
Vincent Calvez, Jimmy Garnier, Florian Patout
We study the asymptotic behavior of stationary solutions to a quantitative genetics model with trait-dependent mortality and sexual reproduction. The infinitesimal model accounts f…
Numerical methods for piecewise deterministic Markov processes with boundary
Ludovic Goudenège
In this paper is described the general aspect of a numerical method for piecewise determin-istic Markov processes with boundary. Under very natural hypotheses, a crucial result abo…
Semiclassical analysis of dispersion phenomena
Victor Chabu, Clotilde Fermanian-Kammerer, Fabricio Macià
Our aim in this work is to give some quantitative insight on the dispersive effects exhibited by solutions of a semiclassical Schr{ö}dinger-type equation in R d. We describe quanti…
Wigner measures and effective mass theorems
Victor Chabu, Clotilde Fermanian-Kammerer, Fabricio Macià
We study a semi-classical Schr{ö}dinger equation which describes the dynamics of an electron in a crystal in the presence of impurities. It is well-known that under suitable assump…
Finite-energy solutions for compressible two-fluid Stokes system
Didier Bresch, Piotr B. Mucha, Ewelina Zatorska
We prove existence of global in time weak solutions to a compressible two-fluid Stokes system with a single velocity field and algebraic closure for the pressure law. The constitut…
Thin front limit of an integro--differential Fisher--KPP equation with fat--tailed kernels
Emeric Bouin, Jimmy Garnier, Christopher Henderson +1
We study the asymptotic behavior of solutions to a monostable integro-differential Fisher-KPP equation , that is where the standard Laplacian is replaced by a convolution term, whe…
On Navier-Stokes-Korteweg and Euler-Korteweg Systems: Application to Quantum Fluids Models
Didier Bresch, Marguerite Gisclon, Ingrid Lacroix-Violet
In this paper, the main objective is to generalize to the Navier-Stokes-Korteweg (with density dependent viscosities satisfying the BD relation) and Euler-Korteweg systems a recent…
Long time existence results for bore-type initial data for BBM-Boussinesq systems
Cosmin Burtea
In this paper we deal with the long time existence for the Cauchy problem associated to BBM-type Boussinesq systems of equations which are asymptotic models for long wave, small am…
Global weak solutions of PDEs for compressible media: A compactness criterion to cover new physical situations
D. Bresch, P. -E. Jabin
This short paper is an introduction of the memoir recently written by the two authors (see [D.Bresch., P.--E. Jabin, arXiv:1507.04629, (2015)]) which concerns the resolution of two…
On the multi-symplectic structure of the Serre-Green-Naghdi equations
Marx Chhay, Denys Dutykh, Didier Clamond
In this short note, we present a multi-symplectic structure of the Serre-Green-Naghdi (SGN) equations modelling nonlinear long surface waves in shallow water. This multi-symplectic…
Diffusive limits for a barotropic model of radiative flow
Raphaël Danchin, Bernard Ducomet
Here we aim at justifying rigorously different types of physically relevant diffusive limits for radiative flows. For simplicity, we consider the barotropic situation, and adopt th…
Global Existence of Weak Solutions for Compresssible Navier--Stokes Equations: Thermodynamically unstable pressure and anisotropic viscous stress tensor
Didier Bresch, Pierre-Emmanuel Jabin
We prove global existence of appropriate weak solutions for the compressible Navier--Stokes equations for more general stress tensor than those covered by P.-L. Lions and E. Feirei…
Error estimates for finite difference schemes associated with Hamilton-Jacobi equations on a junction
Jessica Guerand, Marwa Koumaiha
This paper is concerned with monotone (time-explicit) finite difference schemes associated with first order Hamilton-Jacobi equations posed on a junction. They extend the schemes r…