Existence and uniqueness of solutions for acoustic scattering over infinite obstacles
Peplow, A. T. LU
and Chandler-Wilde, S. N.
(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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/3547c3fc-691c-4b85-8f16-f46a9481ab80
- 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}},
}