Ramm, Alexander G.2011-06-172011-06-172011-06-07http://hdl.handle.net/2097/9259Formulas are derived for solutions of many-body wave scattering problems by small particles in the case of acoustically soft, hard, and impedance particles embedded in an inhomogeneous medium. The limiting case is considered, when the size a of small particles tends to zero while their number tends to infinity at a suitable rate. Equations for the limiting effective (self-consistent) field in the medium are derived.This article is distributed under a Creative Commons Attribution Non-Commercial Share Alike 3.0 Unported LicenseThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).http://rightsstatements.org/vocab/InC/1.0/Scalar wavesWave scatteringMany-body wave scattering problemArticle (author version)