Many-body wave scattering by small bodies and applications II

Abstract

The many-body wave scattering problem is studied in the case where the bodies are small, $ka\ll 1$, where $a$ is the characteristic size of a body. The limiting case when $a\to 0$ and the total number of the small bodies is $M=O(a^{2-\kappa })$ is studied, $\kappa \in (0,1)$ is a parameter, the distance $d$ between neighboring bodies is $d=O(a^{(2-\kappa )/3}$.