Existence and uniqueness of solutions for acoustic scattering over infinite obstacles
(2008) In Journal of Mathematical Analysis and Applications 345(1). p.305-321- 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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- author
- Peplow, A. T. LU and Chandler-Wilde, S. N.
- publishing date
- 2008-09-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Acoustic scattering, Boundary integral equations
- in
- Journal of Mathematical Analysis and Applications
- volume
- 345
- issue
- 1
- pages
- 17 pages
- publisher
- Elsevier
- external identifiers
-
- scopus:43949129064
- ISSN
- 0022-247X
- DOI
- 10.1016/j.jmaa.2008.04.008
- language
- English
- LU publication?
- no
- id
- 3547c3fc-691c-4b85-8f16-f46a9481ab80
- date added to LUP
- 2021-02-08 10:13:29
- date last changed
- 2022-02-01 20:05:22
@article{3547c3fc-691c-4b85-8f16-f46a9481ab80, abstract = {{<p>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.</p>}}, author = {{Peplow, A. T. and Chandler-Wilde, S. N.}}, issn = {{0022-247X}}, keywords = {{Acoustic scattering; Boundary integral equations}}, language = {{eng}}, month = {{09}}, number = {{1}}, pages = {{305--321}}, publisher = {{Elsevier}}, series = {{Journal of Mathematical Analysis and Applications}}, title = {{Existence and uniqueness of solutions for acoustic scattering over infinite obstacles}}, url = {{http://dx.doi.org/10.1016/j.jmaa.2008.04.008}}, doi = {{10.1016/j.jmaa.2008.04.008}}, volume = {{345}}, year = {{2008}}, }