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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
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19 papers · 2 filters
Almost sure scattering for the one dimensional nonlinear Schrödinger equation
Nicolas Burq, Laurent Thomann
We consider the one-dimensional nonlinear Schrödinger equation with a nonlinearity of degree . We exhibit measures on the space of initial data for which we describe the non t…
Qualitative properties of Hénon type equations with exponential nonlinearity
Zongming Guo, Xia Huang, Dong Ye +1
We are interested in the qualitative properties of solutions of the Hénon type equations with exponential nonlinearity. First, we classify the stable at infinity solutions of $Δu +…
A regularity result for the bound states of -body Schrödinger operators: Blow-ups and Lie manifolds
Bernd Ammann, Jérémy Mougel, Victor Nistor
We prove regularity estimates in weighted Sobolev spaces for the -eigenfunctions of Schrödinger type operators whose potentials have inverse square singularities and uniform r…
Asymptotic limit for the Stokes and Navier-Stokes problems in a planar domain with a vanishing hole
Alexandre Munnier
We show that the eigenvalues of the Stokes operator in a domain with a small hole converge to the eigenvalues of the Stokes operator in the whole domain, when the diameter of the h…
A Blaschke-Lebesgue Theorem for the Cheeger constant
Antoine Henrot, Ilaria Lucardesi
In this paper we prove a new extremal property of the Reuleaux triangle: it maximizes the Cheeger constant among all bodies of (same) constant width. The proof relies on a fine ana…
Persistence of preys in a diffusive three species predator-prey system with a pair of strong-weak competing preys
Yu-Shuo Chen, Thomas Giletti, Jong-Shenq Guo
We investigate the traveling wave solutions of a three-species system involving a single predator and a pair of strong-weak competing preys. Our results show how the predation may…
Existence and non-existence results for the higher order Hardy-Hénon equation revisited
Quôc Anh Ngô, Dong Ye
This paper is devoted to studies of non-negative, non-trivial (classical, punctured, or distributional) solutions to the higher order Hardy-Hénon equations \[ (-Δ)^m u = |x|^σu^p \…
Asymptotic behaviour of the Steklov problem on dumbbell domains
Dorin Bucur, Antoine Henrot, Marco Michetti
We analyse the asymptotic behaviour of the eigenvalues and eigenvectors of a Steklov problem in a dumbbell domain consisting of two Lipschitz sets connected by a thin tube with van…
On the Cauchy problem for Friedrichs systems on globally hyperbolic manifolds with timelike boundary
Nicolas Ginoux, Simone Murro
In this paper, the Cauchy problem for a Friedrichs system on a globally hyperbolic manifold with a timelike boundary is investigated. By imposing admissible boundary conditions, th…
Admissible speeds in spatially periodic bistable reaction-diffusion equations
Weiwei Ding, Thomas Giletti
Spatially periodic reaction-diffusion equations typically admit pulsating waves which describe the transition from one steady state to another. Due to the heterogeneity, in general…
Propagation for KPP bulk-surface systems in a general cylindrical domain
Beniamin Bogosel, Thomas Giletti, Andrea Tellini
In this paper, we investigate propagation phenomena for KPP bulk-surface systems in a cylindrical domain with general section and heterogeneous coefficients. As for the scalar KPP…
Growth of Sobolev norms for coupled Lowest Landau Level equations
Valentin Schwinte, Laurent Thomann
We study coupled systems of nonlinear lowest Landau level equations, for which we prove global existence results with polynomial bounds on the possible growth of Sobolev norms of t…
Linearised electrodynamics and stabilisation of a cold magnetised plasma
Simon Labrunie, Ibtissem Zaafrani
We consider a linearized Euler--Maxwell model for the propagation and absorption of electromagnetic waves in a magnetized plasma. We present the derivation of the model, and we sho…
Existence and uniqueness of strong solutions for the system of interaction between a compressible Navier-Stokes-Fourier fluid and a damped plate equation
Debayan Maity, Takéo Takahashi
The article is devoted to the mathematical analysis of a fluid-structure interaction system where the fluid is compressible and heat conducting and where the structure is deformabl…
Homogenization of 2D Cahn-Hilliard-Navier-Stokes system
Renata Bunoiu, Giuseppe Cardone, Romaric Kengne +1
In the current work, we are performing the asymptotic analysis, beyond the periodic setting, of the Cahn-Hilliard-Navier-Stokes system. Under the general deterministic distribution…
Spreading and vanishing for a monostable reaction-diffusion equation with forced speed
Juliette Bouhours, Thomas Giletti
Invasion phenomena for heterogeneous reaction-diffusion equations are contemporary and challenging questions in applied mathematics. In this paper we are interested in the question…
Optimal boundary control for steady motions of a self-propelled body in a Navier-Stokes liquid
Toshiaki Hishida, Ana Leonor Silvestre, Takéo Takahashi
Consider a rigid body immersed in an infinitely extended Navier-Stokes liquid and the motion of the body-fluid interaction system described fro…
Control and exponential stability for a transmission problem of a viscoelastic wave equation
Remi Buffe, Marcelo Cavalcanti, Valéria Domingos Cavalcanti +1
In this article, we consider the energy decay of a viscoelastic wave in an heterogeneous medium. To be more specific, the medium is composed of two different homogeneous medium wit…
Local null controllability of a fluid-rigid body interaction problem with Navier slip boundary conditions
Imene Aicha Djebour
The aim of this work is to show the local null controllability of a fluid-solid interaction system by using a distributed control located in the fluid. The fluid is modeled by the…