5 papers · 1 filter
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,…
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…
Optimal Estimates for the Electric Field in Two-Dimensions
H. Ammari, H. Kang, H. Lee +2
The purpose of this paper is to set out optimal gradient estimates for solutions to the isotropic conductivity problem in the presence of adjacent conductivity inclusions as the di…
Asymptotic Analysis of High-Contrast Phononic Crystals and a Criterion for the Band-Gap Opening
H. Ammari, H. Kang, H. Lee
We investigate the band-gap structure of the frequency spectrum for elastic waves in a high-contrast, two-component periodic elastic medium. We consider two-dimensional phononic cr…