Existence and uniqueness of solutions for acoustic scattering over infinite obstacles |
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| Authors: | AT Peplow SN Chandler-Wilde |
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| Institution: | a Marcus Wallenberg Laboratory for Sound and Vibration Research, Department of Aeronautics & Vehicle Engineering, KTH, S-100 44, Stockholm, Sweden
b Department of Mathematics, University of Reading, Whiteknights, PO Box 220, Berkshire, United Kingdom, RG6 6AX |
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| Abstract: | The paper considers the solution of the boundary value problem (BVP) consisting of the Helmholtz equation in the region D with a rigid boundary condition on ∂D and its reformulation as a boundary integral equation (BIE), over an infinite cylindrical surface of arbitrary smooth cross-section. A boundary integral equation, which models three-dimensional acoustic scattering from an infinite rigid cylinder, illustrates the application of the above results to prove existence of solution of the integral equation and the corresponding boundary value problem. |
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| Keywords: | Boundary integral equations Acoustic scattering |
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