DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bouche, Daniel | ko |
dc.contributor.author | Hong, Youngjoon | ko |
dc.contributor.author | Jung, Chang-Yeol | ko |
dc.date.accessioned | 2023-08-03T02:01:07Z | - |
dc.date.available | 2023-08-03T02:01:07Z | - |
dc.date.created | 2023-08-03 | - |
dc.date.issued | 2017-03 | - |
dc.identifier.citation | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v.37, no.3, pp.1159 - 1181 | - |
dc.identifier.issn | 1078-0947 | - |
dc.identifier.uri | http://hdl.handle.net/10203/311049 | - |
dc.description.abstract | We study the asymptotic behavior of the two dimensional Helmholtz scattering problem with high wave numbers in an exterior domain, the exterior of a circle. We impose the Dirichlet boundary condition on the obstacle, which corresponds to an incidental wave. For the outer boundary, we consider the Sommerfeld conditions. Using a polar coordinates expansion, the problem is reduced to a sequence of Bessel equations. Investigating the Bessel equations mode by mode, we find that the solution of the scattering problem converges to its limit solution at a specific rate depending on k. | - |
dc.language | English | - |
dc.publisher | AMER INST MATHEMATICAL SCIENCES-AIMS | - |
dc.title | ASYMPTOTIC ANALYSIS OF THE SCATTERING PROBLEM FOR THE HELMHOLTZ EQUATIONS WITH HIGH WAVE NUMBERS | - |
dc.type | Article | - |
dc.identifier.wosid | 000390095100002 | - |
dc.identifier.scopusid | 2-s2.0-85006990728 | - |
dc.type.rims | ART | - |
dc.citation.volume | 37 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 1159 | - |
dc.citation.endingpage | 1181 | - |
dc.citation.publicationname | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | - |
dc.identifier.doi | 10.3934/dcds.2017048 | - |
dc.contributor.localauthor | Hong, Youngjoon | - |
dc.contributor.nonIdAuthor | Bouche, Daniel | - |
dc.contributor.nonIdAuthor | Jung, Chang-Yeol | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordAuthor | Electromagnetism | - |
dc.subject.keywordAuthor | acoustics | - |
dc.subject.keywordAuthor | Helmholtz equations | - |
dc.subject.keywordAuthor | scattering problem | - |
dc.subject.keywordAuthor | asymptotic analysis | - |
dc.subject.keywordPlus | NONREFLECTING BOUNDARY-CONDITIONS | - |
dc.subject.keywordPlus | NAVIER-STOKES EQUATIONS | - |
dc.subject.keywordPlus | ROUGH SURFACES | - |
dc.subject.keywordPlus | APPROXIMATION | - |
dc.subject.keywordPlus | DIFFRACTION | - |
dc.subject.keywordPlus | UNIQUENESS | - |
dc.subject.keywordPlus | DOMAINS | - |
dc.subject.keywordPlus | LAYERS | - |
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