Diffraction by a half-plane with different face impedances on 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/10773/16653
Resumo: The paper is devoted to study classes of plane wave diffraction problems by a region which involves a crack with impedance boundary conditions. Conditions on the wave number and impedance parameters are found to ensure the well-posedness of the problems in a scale of Bessel potential spaces. Under such conditions, representations of the solutions are also obtained upon the consideration of some associated operators which, in a sense, combine operators of Wiener-Hopf and Hankel type.
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spelling Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundaryHelmholtz equationWave diffractionImpedance boundary value problemsPotential methodOscillating symbolsWiener-Hopf operatorHankel operatorThe paper is devoted to study classes of plane wave diffraction problems by a region which involves a crack with impedance boundary conditions. Conditions on the wave number and impedance parameters are found to ensure the well-posedness of the problems in a scale of Bessel potential spaces. Under such conditions, representations of the solutions are also obtained upon the consideration of some associated operators which, in a sense, combine operators of Wiener-Hopf and Hankel type.Mathematical Research Publishers2017-01-13T12:51:54Z2014-01-01T00:00:00Z2014info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10773/16653eng1938-9787Castro, 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:RCAAP2024-02-22T11:31:01Zoai:ria.ua.pt:10773/16653Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-20T02:51:42.602367Repositório 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 Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary
title Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary
spellingShingle Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary
Castro, L.P.
Helmholtz equation
Wave diffraction
Impedance boundary value problems
Potential method
Oscillating symbols
Wiener-Hopf operator
Hankel operator
title_short Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary
title_full Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary
title_fullStr Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary
title_full_unstemmed Diffraction by a half-plane with different face impedances on an obstacle perpendicular to the boundary
title_sort Diffraction by a half-plane with different face impedances on 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
Impedance boundary value problems
Potential method
Oscillating symbols
Wiener-Hopf operator
Hankel operator
topic Helmholtz equation
Wave diffraction
Impedance boundary value problems
Potential method
Oscillating symbols
Wiener-Hopf operator
Hankel operator
description The paper is devoted to study classes of plane wave diffraction problems by a region which involves a crack with impedance boundary conditions. Conditions on the wave number and impedance parameters are found to ensure the well-posedness of the problems in a scale of Bessel potential spaces. Under such conditions, representations of the solutions are also obtained upon the consideration of some associated operators which, in a sense, combine operators of Wiener-Hopf and Hankel type.
publishDate 2014
dc.date.none.fl_str_mv 2014-01-01T00:00:00Z
2014
2017-01-13T12:51:54Z
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/10773/16653
url http://hdl.handle.net/10773/16653
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1938-9787
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 Mathematical Research Publishers
publisher.none.fl_str_mv Mathematical Research Publishers
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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