3 papers
math.AP2006
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…
math.AP2006
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…
math-ph2001
High-Order Terms in the Asymptotic Expansions of the Steady-State Voltage Potentials in the Presence of Conductivity Inhomogeneities of Small Diameter
Habib Ammari, Hyeonbae Kang
We derive high-order terms in the asymptotic expansions of the steady-state voltage potentials in the presence of a finite number of diametrically small inhomogeneities with conduc…