Diffraction by a half-plane with different face impedances on 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/10773/16653 |
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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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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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 |
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1799137566786584576 |