Radiation condition and uniqueness for the outgoing elastic wave in a half-plane with free boundary

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dc.contributor.authorDuran, Mario
dc.contributor.authorMuga, Ignacio
dc.contributor.authorNedelec, Jean Claude
dc.date.accessioned2024-01-10T12:07:54Z
dc.date.available2024-01-10T12:07:54Z
dc.date.issued2009
dc.description.abstractIn this Note we deduce an explicit Sommerfeld-type radiation condition which is convenient to prove the uniqueness for the time-harmonic outgoing wave problem in an isotropic elastic half-plane with free boundary condition. The expression is obtained from a rigorous asymptotic analysis of the associated Green's function. The main difficulty is that the free boundary condition allows the propagation of a Rayleigh wave which cannot be neglected in the far field expansion. We also give the existence result for this problem. To cite this article: M. Duran et al., C R. Acad. Sci. Paris, Ser. I 347 (2009). (C) 2009 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.
dc.description.funderAnillo ADI30
dc.description.funderCONICYT/World Bank (Chile)
dc.fechaingreso.objetodigital2024-04-09
dc.format.extent4 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1016/j.crma.2009.10.005
dc.identifier.issn1631-073X
dc.identifier.urihttps://doi.org/10.1016/j.crma.2009.10.005
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/76337
dc.identifier.wosidWOS:000271969800021
dc.information.autorucIngeniería;Durán M;S/I;100275
dc.issue.numero21-22
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final1324
dc.pagina.inicio1321
dc.publisherELSEVIER FRANCE-EDITIONS SCIENTIFIQUES MEDICALES ELSEVIER
dc.revistaCOMPTES RENDUS MATHEMATIQUE
dc.rightsacceso restringido
dc.subjectHELMHOLTZ-EQUATION
dc.subject.ods03 Good Health and Well-being
dc.subject.odspa03 Salud y bienestar
dc.titleRadiation condition and uniqueness for the outgoing elastic wave in a half-plane with free boundary
dc.typeartículo
dc.volumen347
sipa.codpersvinculados100275
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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