Mixed boundary value problems of diffraction by a half-plane with an obstacle perpendicular to the boundary

Detalhes bibliográficos
Autor(a) principal: Castro, L.P.
Data de Publicação: 2014
Outros Autores: Kapanadze, D.
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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spelling 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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