678 citations
- École Normale Supérieure - PSLFR647 papers
- Centre National de la Recherche ScientifiqueFR243 papers
- Université Paris Sciences et LettresFR162 papers
- Centre de Recherche en Mathématiques de la DécisionFR56 papers
- Laboratoire de Probabilités et Modèles AléatoiresFR55 papers
- Laboratoire de Mathématiques d'OrsayFR53 papers
- Sorbonne UniversitéFR49 papers
- Institut de Mathématiques de Jussieu-Paris Rive GaucheFR45 papers
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- Université Pierre-et-Marie-CurieFR33 papers
- Laboratoire Jacques-Louis LionsFR31 papers
8 papers · 2 filters
The Concept of Heterogeneous Scattering Coefficients and Its Application in Inverse Medium Scattering
Habib Ammari, Yat Tin Chow, Jun Zou
This work investigates the scattering coefficients for inverse medium scattering problems. It shows some fundamental properties of the coefficients such as symmetry and tensorial p…
Detection and classification from electromagnetic induction data
Habib Ammari, Junqing Chen, Zhiming Chen +2
In this paper we introduce an efficient algorithm for identifying conductive objects using induction data derived from eddy currents. Our method consists of first extracting geomet…
Backpropagation Imaging in Nonlinear Harmonic Holography in the Presence of Measurement and Medium Noises
Habib Ammari, Josselin Garnier, Pierre Millien
In this paper, the detection of a small reflector in a randomly heterogenous medium using second-harmonic generation is investigated. The medium is illuminated by a time-harmonic p…
Lyapunov functionals for boundary-driven nonlinear drift-diffusions
T. Bodineau, J. L. Lebowitz, C. Mouhot +1
We exhibit a large class of Lyapunov functionals for nonlinear drift-diffusion equations with non-homogeneous Dirichlet boundary conditions. These are generalizations of large devi…
Entropy criteria and stability of extreme shocks: a remark on a paper of Leger and Vasseur
Benjamin Texier, Kevin Zumbrun
We show that a relative entropy condition recently shown by Leger and Vasseur to imply uniqueness and stable dependence on initial data of Lax 1- or -shock solutions of an…
Well-posedness of the Stokes-Coriolis system in the half-space over a rough surface
Anne-Laure Dalibard, Christophe Prange
This paper is devoted to the well-posedness of the stationary d Stokes-Coriolis system set in a half-space with rough bottom and Dirichlet data which does not decrease at space…