64 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 ScientifiqueFR35 papers
- Institut national de recherche en sciences et technologies du numériqueFR30 papers
- École Nationale Supérieure de Techniques AvancéesFR26 papers
- École Nationale Supérieure de Techniques Avancées ParisFR11 papers
- Centre de Mathématiques Appliquées de l'École polytechniqueFR7 papers
- École PolytechniqueFR7 papers
- Institut Jean Le Rond d'AlembertFR7 papers
- Sorbonne UniversitéFR7 papers
- Université Paris-SaclayFR7 papers
- Centrale MéditerranéeFR4 papers
- Laboratoire de Mathématiques d'OrsayFR4 papers
- Université Paris-SudFR4 papers
22 papers · 1 filter
Tangential and normal traces for extension domains with non-Lipschitz boundaries
Romain Cervera, Patrick Ciarlet, Anna Rozanova-Pierrat +1
We generalize the classical vector-valued tangential and normal trace theory on Lipschitz domains to the setting of non-Lipschitz -extension domains, which includes domains wi…
Wave propagation in the frequency regime in one-dimensional quasiperiodic media -Limiting absorption principle
Pierre Amenoagbadji, Sonia Fliss, Patrick Joly
We study the one-dimensional Helmholtz equation with (possibly perturbed) quasiperiodic coefficients. Quasiperiodic functions are the restriction of higher dimensional periodic fun…
A Rellich-type theorem for the Helmholtz equation in a junction of stratified media
Sarah Al Humaikani, Anne-Sophie Bonnet-Ben Dhia, Sonia Fliss +1
We prove that there are no non-zero square-integrable solutions to a two-dimensional Helmholtz equation in some unbounded inhomogeneous domains which represent junctions of stratif…
Asymptotic analysis at any order of Helmholtz's problem in a corner with a thin layer: an algebraic approach
Cédric Baudet
We consider the Helmholtz equation in an angular sector partially covered by a homogeneous layer of small thickness, denoted . We propose in this work an asymptotic ex…
Time-harmonic wave propagation in junctions of two periodic half-spaces
Pierre Amenoagbadji, Sonia Fliss, Patrick Joly
We are interested in the Helmholtz equation in a junction of two periodic half-spaces. When the overall medium is periodic in the direction of the interface, Fliss and Joly (2019)…
Scattered wavefield in the stochastic homogenization regime
Josselin Garnier, Laure Giovangigli, Quentin Goepfert +1
In the context of providing a mathematical framework for the propagation of ultrasound waves in a random multiscale medium, we consider the scattering of classical waves (modeled b…
Wave propagation in one-dimensional quasiperiodic media
Pierre Amenoagbadji, Sonia Fliss, Patrick Joly
This work is devoted to the resolution of the Helmholtz equation in a one-dimensional unbounded medium. We assume the coefficients of this equation to be loc…
Long time behaviour of the solution of Maxwell's equations in dissipative generalized Lorentz materials (I) A frequency dependent Lyapunov function approach
Maxence Cassier, Patrick Joly, Luis Alejandro Rosas Martínez
It is well-known that electromagnetic dispersive structures such as metamaterials can be modelled by generalized Drude-Lorentz models. The present paper is the first of two article…
Maxwell's equations with hypersingularities at a conical plasmonic tip
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Mahran Rihani
In this work, we are interested in the analysis of time-harmonic Maxwell's equations in presence of a conical tip of a material with negative dielectric constants. When these const…
Analysis of the error in constitutive equation approach for time-harmonic elasticity imaging
Wilkins Aquino, Marc Bonnet
We consider the identification of heterogeneous linear elastic moduli in the context of time-harmonic elastodynamics. This inverse problem is formulated as the minimization of the…
On well-posedness of time-harmonic problems in an unbounded strip for a thin plate model
Laurent Bourgeois, Lucas Chesnel, Sonia Fliss
We study the propagation of elastic waves in the time-harmonic regime in a waveguide which is unbounded in one direction and bounded in the two other (transverse) directions. We as…
Trapped modes in thin and infinite ladder like domains. Part 1 : existence results
Bérangère Delourme, Sonia Fliss, Patrick Joly +1
The present paper deals with the wave propagation in a particular two dimensional structure, obtained from a localized perturbation of a reference periodic medium. This reference m…
Mathematical models for dispersive electromagnetic waves: an overview
Maxence Cassier, Patrick Joly, Maryna Kachanovska
In this work, we investigate mathematical models for electromagnetic wave propagation in dispersive isotropic media. We emphasize the link between physical requirements and mathema…
Spectral theory for Maxwell's equations at the interface of a metamaterial. Part I: Generalized Fourier transform
Maxence Cassier, Christophe Hazard, Patrick Joly
We explore the spectral properties of the time-dependent Maxwell's equations for a plane interface between a metamaterial represented by the Drude model and the vacuum, which fill…
The "exterior approach" applied to the inverse obstacle problem for the heat equation
Laurent Bourgeois, Jérémi Dardé
In this paper we consider the " exterior approach " to solve the inverse obstacle problem for the heat equation. This iterated approach is based on a quasi-reversibility method to…
Perfect transmission invisibility for waveguides with sound hard walls
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Sergei A. Nazarov
We are interested in a time harmonic acoustic problem in a waveguide with locally perturbed sound hard walls. We consider a setting where an observer generates incident plane waves…
Uniqueness results for inverse Robin problems with bounded coefficient
Laurent Baratchart, Laurent Bourgeois, Juliette Leblond
In this paper we address the uniqueness issue in the classical Robin inverse problem on a Lipschitz domain $Ω\subset\RR^n$, with Robin coefficient, Neumann data an…
Non-scattering wavenumbers and far field invisibility for a finite set of incident/scattering directions
Anne-Sophie Bonnet-Ben Dhia, Lucas Chesnel, Sergei A. Nazarov
We investigate a time harmonic acoustic scattering problem by a penetrable inclusion with compact support embedded in the free space. We consider cases where an observer can produc…
Lipschitz stability estimate in the inverse Robin problem for the Stokes system
Anne-Claire Egloffe
We are interested in the inverse problem of recovering a Robin coefficient defined on some non accessible part of the boundary from available data on another part of the boundary i…
Transparent boundary conditions for locally perturbed infinite hexagonal periodic media
Christophe Besse, Julien Coatleven, Sonia Fliss +2
In this paper, we propose a strategy to determine the Dirichlet-to-Neumann (DtN) operator for infinite, lossy and locally perturbed hexagonal periodic media. We obtain a factorizat…
Construction and analysis of approximate models for electromagnetic scattering from imperfectly conducting scatterers
Houssem Haddar, Patrick Joly, Hoai Minh Nguyen
This report is dedicated to the construction and analysis of so-called Generalized Impedance Boundary Conditions (GIBCs) used in electromagnetic scattering problems from imperfect…
Numerical Analysis of Time-Dependent Galbrun Equation in an Infinite Duct
Kamel Berriri, A. -S. Bonnet-Ben Dhia, P. Joly
In this paper we are interested in the mathematical and numerical analysis of the time-dependent Galbrun equa- tion in a rigid duct. This equation models the acoustic propagation i…