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7 papers · 2 filters
Strong convergence of the solutions of the linear elasticity and uniformity of asymptotic expansions in the presence of small inclusions
Habib Ammari, Hyeonbae Kang, Kyoungsun Kim +1
We consider the Lamé system of linear elasticity when the inclusion has the extreme elastic constants. We show that the solutions to the Lamé system converge in appropriate -n…
Enhancement of near-cloaking for the full Maxwell equations
Habib Ammari, Hyeonbae Kang, Hyundae Lee +2
In this paper, we consider near cloaking for the full Maxwell equations. We extend the recent results, where the quasi-static limit case and the Helmholtz equation are considered,…
The water waves equations: from Zakharov to Euler
Thomas Alazard, Nicolas Burq, Claude Zuily
Starting form the Zakharov/Craig-Sulem formulation of the water-waves equations, we prove that one can define a pressure term and hence obtain a solution of the classical Euler equ…
Target Detection and Characterization from Electromagnetic Induction Data
Habib Ammari, Junqing Chen, Zhiming Chen +2
The goal of this paper is to contribute to the field of nondestructive testing by eddy currents. We provide a mathematical analysis and a numerical framework for simulating the ima…
Spectral analysis of the Neumann-Poincaré operator and characterization of the gradient blow-up
Habib Ammari, Giulio Ciraolo, Hyeonbae Kang +2
When perfectly conducting or insulating inclusions are closely located, stress which is the gradient of the solution to the conductivity equation can be arbitrarily large as the di…
Stability estimates for an inverse scattering problem at high frequencies
Habib Ammari, Hajer Bahouri, David Dos Santos Ferreira +1
We consider an inverse scattering problem and its near-field approximation at high frequencies. We first prove, for both problems, Lipschitz stability results for determining the l…