The Problem of Scattering by a Mixture of Cracks and Obstacles. (30th November 2009)

• Record Type: Journal Article
• Authors: Yan, Guozheng
• Other Names: Messaoudi Salim Academic Editor.
• Is Part Of: Boundary value problems. Volume 2009(2009)
• Publication Date: 2009-11-30
• Subjects: Boundary value problems -- Periodicals; Boundary value problems; Electronic journals; Periodicals; 515.35
• DOI: 10.1155/2009/524846
• Languages: English
• ISSNs: 1687-2762

Abstract

Abstract : Consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open crackΓ and a bounded domainD inR 2 as cross section. We assume that the crackΓ is divided into two parts, and one of the two parts is (possibly) coated on one side by a material with surface impedanceλ . Different boundary conditions are given onΓ and∂ D . Applying potential theory, the problem can be reformulated as a boundary integral system. We obtain the existence and uniqueness of a solution to the system by using Fredholm theory.