Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary
Autor(a) principal: | |
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Data de Publicação: | 2014 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10773/16639 |
Resumo: | The paper is devoted to the analysis of wave diffraction problems modelled by classes of mixed boundary conditions and the Helmholtz equation, within a half-plane with a crack. Potential theory together with Fredholm theory, and explicit operator relations, are conveniently implemented to perform the analysis of the problems. In particular, an interplay between Wiener-Hopf plus/minus Hankel operators and Wiener-Hopf operators assumes a relevant preponderance in the final results. As main conclusions, this study reveals conditions for the well-posedness of the corresponding boundary value problems in certain Sobolev spaces and equivalent reduction to systems of Wiener-Hopf equations. |
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7160 |
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Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundaryHelmholtz equationWave diffractionBoundary value problemsPotential methodOscillating symbolsThe paper is devoted to the analysis of wave diffraction problems modelled by classes of mixed boundary conditions and the Helmholtz equation, within a half-plane with a crack. Potential theory together with Fredholm theory, and explicit operator relations, are conveniently implemented to perform the analysis of the problems. In particular, an interplay between Wiener-Hopf plus/minus Hankel operators and Wiener-Hopf operators assumes a relevant preponderance in the final results. As main conclusions, this study reveals conditions for the well-posedness of the corresponding boundary value problems in certain Sobolev spaces and equivalent reduction to systems of Wiener-Hopf equations.Wiley2017-01-10T14:56:52Z2014-07-01T00:00:00Z2014-07info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16639eng1099-147610.1002/mma.2900Castro, L.P.Kapanadze, D.info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-02-22T11:31:02Zoai:ria.ua.pt:10773/16639Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:51:43.107758Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary |
title |
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary |
spellingShingle |
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary Castro, L.P. Helmholtz equation Wave diffraction Boundary value problems Potential method Oscillating symbols |
title_short |
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary |
title_full |
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary |
title_fullStr |
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary |
title_full_unstemmed |
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary |
title_sort |
Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary |
author |
Castro, L.P. |
author_facet |
Castro, L.P. Kapanadze, D. |
author_role |
author |
author2 |
Kapanadze, D. |
author2_role |
author |
dc.contributor.author.fl_str_mv |
Castro, L.P. Kapanadze, D. |
dc.subject.por.fl_str_mv |
Helmholtz equation Wave diffraction Boundary value problems Potential method Oscillating symbols |
topic |
Helmholtz equation Wave diffraction Boundary value problems Potential method Oscillating symbols |
description |
The paper is devoted to the analysis of wave diffraction problems modelled by classes of mixed boundary conditions and the Helmholtz equation, within a half-plane with a crack. Potential theory together with Fredholm theory, and explicit operator relations, are conveniently implemented to perform the analysis of the problems. In particular, an interplay between Wiener-Hopf plus/minus Hankel operators and Wiener-Hopf operators assumes a relevant preponderance in the final results. As main conclusions, this study reveals conditions for the well-posedness of the corresponding boundary value problems in certain Sobolev spaces and equivalent reduction to systems of Wiener-Hopf equations. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-07-01T00:00:00Z 2014-07 2017-01-10T14:56:52Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10773/16639 |
url |
http://hdl.handle.net/10773/16639 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1099-1476 10.1002/mma.2900 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Wiley |
publisher.none.fl_str_mv |
Wiley |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
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1799137566789730304 |