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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
Blowing-up solutions for second-order critical elliptic equations: the impact of the scalar curvature
Frédéric Robert, Jérôme Vétois
Given a closed manifold , , Olivier Druet proved that a necessary condition for the existence of energy-bounded blowing-up solutions to perturbations of the equat…
Boundary value problems for elliptic partial differential equations
Mourad Choulli
This course is intended as an introduction to the analysis of elliptic partial differential equations. The objective is to provide a large overview of the different aspects of elli…
Existence of contacts for the motion of a rigid body into a viscous incompressible fluid with the Tresca boundary conditions
Matthieu Hillairet, Takéo Takahashi
We consider a fluid-structure interaction system composed by a rigid ball immersed into a viscous incompressible fluid. The motion of the structure satisfies the Newton laws and th…
A simple proof of a multidimensional Borg-Levinson type theorem
Mourad Choulli
We provide a simple and short proof of a multidimensional Borg-Levinson type theorem. Precisely, we prove that the spectral boundary data determine uniquely the corresponding poten…
Asymptotic analysis of an optimal control problem for a viscous incompressible fluid with Navier slip boundary conditions
Claudia Gariboldi, Takéo Takahashi
We consider an optimal control problem for the Navier-Stokes system with Navier slip boundary conditions. We denote by the friction coefficient and we analyze the asymptotic be…
Stabilization of a rigid body moving in a compressible viscous fluid
Arnab Roy, Takéo Takahashi
We consider the stabilizability of a fluid-structure interaction system where the fluid is viscous and compressible and the structure is a rigid ball. The feedback control of the s…
Inverse problems for Schrödinger equations with unbounded potentials
Mourad Choulli
We summarize in these notes the course given at the Summer School of AIP 2019 held in Grenoble from July 1st to July 5th. This course was mainly devoted to the determination of the…
Hyperbolic solutions to Bernoulli's free boundary problem
Antoine Henrot, Michiaki Onodera
Bernoulli's free boundary problem is an overdetermined problem in which one seeks an annular domain such that the capacitary potential satisfies an extra boundary condition. There…
Two-sided Gaussian bounds for fundamental solutions of non-divergence form parabolic operators with Hölder continuous coefficients
Mourad Choulli, Giorgio Metafune
We establish two-sided Gaussian bounds for fundamental solutions of general non-divergence form parabolic operators with Hölder continuous coefficients. The result we obtain is ess…
From Steklov to Neumann via homogenisation
Alexandre Girouard, Antoine Henrot, Jean Lagacé
We study a new link between the Steklov and Neumann eigenvalues of domains in Euclidean space. This is obtained through an homogenisation limit of the Steklov problem on a periodic…
Energy-dissipation balance of a smooth moving crack
Maicol Caponi, Ilaria Lucardesi, Emanuele Tasso
In this paper we provide necessary and sufficient conditions in order to guarantee the energy-dissipation balance of a Mode III crack, growing on a prescribed smooth path. Moreover…
On Bernstein processes of maximal entropy
Pierre-A Vuillermot
In this article we define and investigate statistical operators and an entropy functional for Bernstein stochastic processes associated with hierarchies of forward-backward systems…
Critical criteria of Fujita type for a system of inhomogeneous wave inequalities in exterior domains
Mohamed Jleli, Bessem Samet, Dong Ye
We consider blow-up results for a system of inhomogeneous wave inequalities in exterior domains. We will handle three type boundary conditions: Dirichlet type, Neumann type and mix…
Multiplicity and stability of the Pohozaev obstruction for Hardy-Schrödinger equations with boundary singularity
Nassif Ghoussoub, Saikat Mazumdar, Frédéric Robert
Let be a smooth bounded domain in () such that . In this memoir, we consider issues of non-existence, existence, and multiplicity of var…
New global logarithmic stability of the Cauchy problem for elliptic equations
Mourad Choulli
In this short paper we prove a global logarithmic stability of the Cauchy problem for H 2-solutions of an anisotropic elliptic equation in a Lip-schitz domain. The result we obtain…
Existence and Uniqueness of a Transient State for the Coupled Radiative-Conductive Heat Transfer Problem
Mohamed Ghattassi, Jean Rodolphe Roche, Didier Schmitt
This paper deals with existence and uniqueness results for a transient nonlinear radiative-conductive system in three-dimensional case. This system describes the heat transfer for…
Dynamics of rigid bodies in a two dimensional incompressible perfect fluid
Olivier Glass, Christophe Lacave, Alexandre Munnier +1
We consider the motion of several rigid bodies immersed in a two-dimensional incompress-ible perfect fluid, the whole system being bounded by an external impermeable fixed boundary…
Global logarithmic stability of a Cauchy problem for anisotropic wave equations
Mourad Bellassoued, Mourad Choulli
We discuss the Cauchy problem for anisotropic wave equations. Precisely, we address the question to know which kind of Cauchy data on the lateral boundary are necessary to guarante…
Analysis and Output Tracking Design for the Direct Contact Membrane Distillation Parabolic System
Mohamed Ghattassi, Taous-Meriem Laleg, Jean-Claude Vivalda
This paper considers the performance output tracking for a boundary controlled Direct Contact Membrane Distillation (DCMD) system. First, the mathematical properties of a recently…