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

Mario Durán, IGNACIO PATRICIO PEDRO MUGA URQUIZA, Jean Claude Nédélec

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

1 Cita (Scopus)

Resumen

In 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. Durán et al., C. R. Acad. Sci. Paris, Ser. I 347 (2009).

Idioma originalInglés
Páginas (desde-hasta)1321-1324
Número de páginas4
PublicaciónComptes Rendus Mathematique
Volumen347
N.º21-22
DOI
EstadoPublicada - 1 ene 2009

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