14.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- Université de RennesFR408 papers
- Centre National de la Recherche ScientifiqueFR296 papers
- Institut de recherche mathématique de RennesFR189 papers
- Institut de Physique de RennesFR150 papers
- Université Paris DiderotFR79 papers
- Observatoire de ParisFR77 papers
- Université Paris-SudFR73 papers
- Commissariat à l'Énergie Atomique et aux Énergies AlternativesFR70 papers
- Observatoire de la Côte d’AzurFR70 papers
- University of WarsawPL69 papers
- Australian National UniversityAU67 papers
- University of Rome Tor VergataIT66 papers
27 papers · 1 filter
Non uniform rotating vortices and periodic orbits for the two-dimensional Euler Equations
Claudia García, Taoufik Hmidi, Juan Soler
This paper concerns the study of some special ordered structures in turbulent flows. In particular, a systematic and relevant methodology is proposed to construct non trivial and n…
On the Bardina's model in the whole space
Luigi C. Berselli, Roger Lewandowski
We consider the Bardina's model for turbulent incompressible flows in the whole space with a cut-off frequency of order 1/alpha. We show that for any alpha >0 fixed, the model has…
Large-time behavior of solutions to Vlasov-Poisson-Fokker-Planck equations: from evanescent collisions to diffusive limit
Maxime Herda, Luis Miguel Rodrigues
The present contribution investigates the dynamics generated by the two-dimensional Vlasov-Poisson-Fokker-Planck equation for charged particles in a steady inhomogeneous background…
Converging expansions for Lipschitz self-similar perforations of a plane sector
Martin Costabel, Matteo Dalla Riva, Monique Dauge +1
In contrast with the well-known methods of matching asymptotics and multiscale (or compound) asymptotics, the " functional analytic approach " of Lanza de Cristoforis (Analysis 28,…
Existence of small loops in the Bifurcation diagram near the degenerate eigenvalues
Taoufik Hmidi, Coralie Renault
In this paper we study for the incompressible Euler equations the global structure of the bifurcation diagram for the rotating doubly connected patches near the degenerate case. We…
Existence of corotating and counter-rotating vortex pairs for active scalar equations
Taoufik Hmidi, Joan Mateu
In this paper, we study the existence of corotating and counter-rotating pairs of simply connected patches for Euler equations and the equations with …
The multilayer shallow water system in the limit of small density contrast
Vincent Duchêne
We study the inviscid multilayer Saint-Venant (or shallow-water) system in the limit of small density contrast. We show that, under reasonable hyperbolicity conditions on the flow…
Volume integral equations for electromagnetic scattering in two dimensions
Martin Costabel, Eric Darrigrand, Hamdi Sakly
We study the strongly singular volume integral equation that describes the scattering of time-harmonic electromagnetic waves by a penetrable obstacle. We consider the case of a cyl…
Co-periodic stability of periodic waves in some Hamiltonian PDEs
Sylvie Benzoni-Gavage, Colin Mietka, L. Miguel Rodrigues
The stability of periodic traveling wave solutions to dispersive PDEs with respect to `arbitrary' perturbations is still widely open. The focus is put here on stability with respec…
Stability of viscous St. Venant roll-waves: from onset to infinite-Froude number limit
Blake Barker, Mathew A. Johnson, Pascal Noble +2
We study the spectral stability of roll-wave solutions of the viscous St. Venant equations modeling inclined shallow-water flow, both at onset in the small-Froude number or "weakly…
A new class of two-layer Green-Naghdi systems with improved frequency dispersion
Vincent Duchêne, Samer Israwi, Raafat Talhouk
We introduce a new class of Green-Naghdi type models for the propagation of internal waves between two (1+1)-dimensional layers of homogeneous, immiscible, ideal, incompressible, i…
Wigner measures approach to the classical limit of the Nelson model: Convergence of dynamics and ground state energy
Zied Ammari, Marco Falconi
We consider the classical limit of the Nelson model, a system of stable nucleons interacting with a meson field. We prove convergence of the quantum dynamics towards the evolution…
Spectral asymptotics of a broken delta interaction
Vincent Duchene, Nicolas Raymond
This paper is concerned with the spectral analysis of a Hamiltonian with a -interaction supported along a broken line with angle . The bound states with energy slightly below…
Fractional diffusion limit for a stochastic kinetic equation
Sylvain De Moor
We study the stochastic fractional diffusive limit of a kinetic equation involving a small parameter and perturbed by a smooth random term. Generalizing the method of perturbed tes…
Magnetic Neumann Laplacian on a sharp cone
Virginie Bonnaillie-Noël, Nicolas Raymond
This paper is devoted to the spectral analysis of the Laplacian with constant magnetic field on a cone of aperture and Neumann boundary condition. We analyze the influence of t…
Effective conductivity of a singularly perturbed periodic two-phase composite with imperfect thermal contact at the two-phase interface
Matteo Dalla Riva, Paolo Musolino
We consider the asymptotic behaviour of the effective thermal conductivity of a two-phase composite obtained by introducing into an infinite homogeneous matrix a periodic set of in…
Coupling techniques for nonlinear hyperbolic equations. IV. Multi-component coupling and multidimensional well-balanced schemes
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch
This series of papers is devoted to the formulation and the approximation of coupling problems for nonlinear hyperbolic equations. The coupling across an interface in the physical…
Homogenization of high-contrast two-phase conductivities perturbed by a magnetic field. Comparison between dimension two and dimension three
Marc Briane, Laurent Pater
Homogenized laws for sequences of high-contrast two-phase non-symmetric conductivities perturbed by a parameter are derived in two and three dimensions. The parameter chara…
Coupling techniques for nonlinear hyperbolic equations. I. Self-similar diffusion for thin interfaces
Benjamin Boutin, Frédéric Coquel, Philippe G. LeFloch
We investigate various analytical and numerical techniques for the coupling of nonlinear hyperbolic systems and, in particular, we introduce here an augmented formulation which all…
High order finite element calculations for the deterministic Cahn-Hilliard equation
Ludovic Goudenège, Daniel Martin, Grégory Vial
In this work, we propose a numerical method based on high degree continuous nodal elements for the Cahn-Hilliard evolution. The use of the p-version of the finite element method pr…
Analytic Regularity for Linear Elliptic Systems in Polygons and Polyhedra
Martin Costabel, Monique Dauge, Serge Nicaise
We prove weighted anisotropic analytic estimates for solutions of second order elliptic boundary value problems in polyhedra. The weighted analytic classes which we use are the sam…
Adiabatic evolution of 1D shape resonances: an artificial interface conditions approach
Ali Faraj, Andrea Mantile, Francis Nier
Artificial interface conditions parametrized by a complex number are introduced for 1D-Schrödinger operators. When this complex parameter equals the parameter of…
A new variational approach to the stability of gravitational systems
Mohammed Lemou, Florian Mehats, Pierre Raphael
We consider the three dimensional gravitational Vlasov Poisson system which describes the mechanical state of a stellar system subject to its own gravity. A well-known conjecture i…
Stable ground states for the relativistic gravitational Vlasov-Poisson system
Mohammed Lemou, Florian Mehats, Pierre Raphael
We consider the three dimensional gravitational Vlasov-Poisson (GVP) system in both classical and relativistic cases. The classical problem is subcritical in the natural energy spa…