Time-dependent scattering of (generalized) plane waves by wedgeстатья
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Дата последнего поиска статьи во внешних источниках: 1 октября 2016 г.
Аннотация:We obtain explicit formulas for the scattering of plane waves with arbitrary profile by a wedge under Dirichlet, Neumann and Dirichlet-Neumann boundary conditions. The diffracted wave is given by a convolution of the profile function with a suitable kernel corresponding to the boundary conditions. We prove the existence and uniqueness of solutions in appropriate classes of distributions and establish the Sommerfeld type representation for the diffracted wave.
As an application, we establish (i) stability of long-time asymptotic local perturbations of the profile functions and (ii) the limiting amplitude principle in the case of a harmonic incident wave.