We deal with the linearized model of the acoustic wave propagation generated by small
bubbles in the harmonic regime. We estimate the waves generated by a cluster of M small …

We propose a quantitative effective medium theory for two types of acoustic metamaterials
constituted of a large number N of small heterogeneities of characteristic size s, randomly …

Acoustic multiple scattering by a cluster of cylinders in an acoustic medium is considered. A
fast recursive technique is described which takes advantage of the multilevel Block Toeplitz …

We construct the asymptotic approximation to the first eigenvalue and corresponding
eigensolution of Laplace's operator inside a domain containing a cloud of small rigid …

We deal with the electromagnetic wave propagation in the harmonic regime. We derive the
Foldy--Lax approximation of the scattered fields generated by a cluster of small conductive …

We study the time-domain acoustic scattering problem by a cluster of small holes (ie, sound-
soft obstacles). Based on the retarded boundary integral equation method, we derive the …

The point-interaction approximation (or the Foldy–Lax approximation) of the electromagnetic
fields generated by a cluster of small-scaled inhomogeneities is derived in the mesoscale …

We are concerned with the linearized, isotropic and homogeneous elastic scattering
problem by many small rigid obstacles of arbitrary, Lipschitz regular, shapes in 3D case. We …

We construct an asymptotic approximation to the solution of a transmission problem for a
body containing a region occupied by many small inclusions. The cluster of inclusions is …

We are concerned with the acoustic scattering problem, at a frequency κ κ, by many small
obstacles of arbitrary shapes with impedance boundary condition. These scatterers are …