The Problem of Scattering by a Mixture of Cracks and Obstacles
Consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open crack Γ and a bounded domain D in R2 as cross section. We assume that the crack Γ is divided into two parts, and one of the two parts is (possibly) coated on one side b...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2009-01-01
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| Series: | Boundary Value Problems |
| Online Access: | http://dx.doi.org/10.1155/2009/524846 |
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doaj-b471be6b0a324831aab592544eab650a2020-11-24T20:54:28ZengSpringerOpenBoundary Value Problems1687-27621687-27702009-01-01200910.1155/2009/524846The Problem of Scattering by a Mixture of Cracks and ObstaclesGuozheng YanConsider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open crack Γ and a bounded domain D in R2 as cross section. We assume that the crack Γ is divided into two parts, and one of the two parts is (possibly) coated on one side by a material with surface impedance λ. Different boundary conditions are given on Γ 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. http://dx.doi.org/10.1155/2009/524846 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Guozheng Yan |
| spellingShingle |
Guozheng Yan The Problem of Scattering by a Mixture of Cracks and Obstacles Boundary Value Problems |
| author_facet |
Guozheng Yan |
| author_sort |
Guozheng Yan |
| title |
The Problem of Scattering by a Mixture of Cracks and Obstacles |
| title_short |
The Problem of Scattering by a Mixture of Cracks and Obstacles |
| title_full |
The Problem of Scattering by a Mixture of Cracks and Obstacles |
| title_fullStr |
The Problem of Scattering by a Mixture of Cracks and Obstacles |
| title_full_unstemmed |
The Problem of Scattering by a Mixture of Cracks and Obstacles |
| title_sort |
problem of scattering by a mixture of cracks and obstacles |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2762 1687-2770 |
| publishDate |
2009-01-01 |
| description |
Consider the scattering of an electromagnetic time-harmonic plane wave by an infinite cylinder having an open crack Γ and a bounded domain D in R2 as cross section. We assume that the crack Γ is divided into two parts, and one of the two parts is (possibly) coated on one side by a material with surface impedance λ. Different boundary conditions are given on Γ 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. |
| url |
http://dx.doi.org/10.1155/2009/524846 |
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AT guozhengyan theproblemofscatteringbyamixtureofcracksandobstacles AT guozhengyan problemofscatteringbyamixtureofcracksandobstacles |
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