678 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- 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
- Université Paris CitéFR42 papers
- Université Paris Dauphine-PSLFR34 papers
- Université Pierre-et-Marie-CurieFR33 papers
- Laboratoire Jacques-Louis LionsFR31 papers
10 papers · 2 filters
The singular limit of the Water-Waves equations in the rigid lid regime
Benoît Mésognon-Gireau
The re-scaled Water-Waves equations depend strongly on the ratio epsilon between the amplitude of the wave and the depth of the water. We investigate in this paper the convergence…
A dispersive estimate for the linearized Water-Waves equations in finite depth
Benoît Mésognon-Gireau
We prove a dispersive estimate for the solutions of the linearized Water-Waves equations in dimension 1 in presence of a flat bottom. We prove a decay with respect to time t of ord…
Mathematical analysis of plasmonic resonances for nanoparticles: the full Maxwell equations
Habib Ammari, Matias Ruiz, Sanghyeon Yu +1
In this paper we use the full Maxwell equations for light propagation in order to analyze plasmonic resonances for nanoparticles. We mathematically define the notion of plasmonic r…
Absence of Critical Points of Solutions to the Helmholtz Equation in 3D
Giovanni S. Alberti
The focus of this paper is to show the absence of critical points for the solutions to the Helmholtz equation in a bounded domain , given by \[ \left\{ \beg…
Spectral minimal partitions for a family of tori
Virginie Bonnaillie-Noël, Corentin Léna
We study partitions of the rectangular two-dimensional flat torus of length 1 and width b into k domains, with b a parameter in (0, 1] and k an integer. We look for partitions whic…
On an elliptic equation arising from photo-acoustic imaging in inhomogeneous media
Habib Ammari, Hongjie Dong, Hyeonbae Kang +1
We study an elliptic equation with measurable coefficients arising from photo-acoustic imaging in inhomogeneous media. We establish Holder continuity of weak solutions and obtain p…
Error estimates for finite difference schemes associated with Hamilton-Jacobi equations on a junction
Jessica Guerand, Marwa Koumaiha
This paper is concerned with monotone (time-explicit) finite difference schemes associated with first order Hamilton-Jacobi equations posed on a junction. They extend the schemes r…
Interactions between moderately close inclusions for the 2D Dirichlet-Laplacian
Virginie Bonnaillie-Noël, Marc Dambrine, Christophe Lacave
This paper concerns the asymptotic expansion of the solution of the Dirichlet-Laplace problem in a domain with small inclusions. This problem is well understood for the Neumann con…
The X-ray transform for connections in negative curvature
Colin Guillarmou, Gabriel P. Paternain, Mikko Salo +1
We consider integral geometry inverse problems for unitary connections and skew-Hermitian Higgs fields on manifolds with negative sectional curvature. The results apply to manifold…
Disjoint sparsity for signal separation and applications to hybrid inverse problems in medical imaging
Giovanni S. Alberti, Habib Ammari
The main focus of this work is the reconstruction of the signals and , , from the knowledge of their sums , under the assumption that and t…