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

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.

Autores: Durán, M., Muga, I., Nédélec, J.

Journal: Comptes Rendus Mathematique

Journal Volume: 347

Journal Issue: 21-22

Journal Page: 1321-1324

Tipo de publicación: ISI

Fecha de publicación: 2009

Topics:

DOI: 10.1016/j.crma.2009.10.005

URL de la publicación: http://www.sciencedirect.com/science/article/pii/S1631073X09003252