116 citations · 394 across the 32 of their papers we have counts for
6 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,…
Spectral theory of a Neumann-Poincaré-type operator and analysis of anomalous localized resonance II
Habib Ammari, Giulio Ciraolo, Hyeonbae Kang +2
If a body of dielectric material is coated by a plasmonic structure of negative dielectric constant with nonzero loss parameter, then cloaking by anomalous localized resonance (CAL…
Reconstruction of Inhomogeneous Conductivities via the Concept of Generalized Polarization Tensors
Habib Ammari, Youjun Deng, Hyeonbae Kang +1
This paper extends the concept of generalized polarization tensors (GPTs), which was previously defined for inclusions with homogeneous conductivities, to inhomogeneous conductivit…
Boundary perturbations due to the presence of small linear cracks in an elastic body
Habib Ammari, Hyeonbae Kang, Hyundae Lee +1
In this paper, Neumann cracks in elastic bodies are considered. We establish a rigorous asymptotic expansion for the boundary perturbations of the displacement (and traction) vecto…
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…