Scattering problems in a domain with small holes.

Chiadò Piat, V., and Codegone, M.. "Scattering problems in a domain with small holes.." RACSAM 97.3 (2003): 447-454. <http://eudml.org/doc/40991>.

@article{ChiadòPiat2003,
abstract = {In this paper, we consider a family of scattering problems in perforated unbounded domains Ωε. We assume that the perforation is contained in a bounded region and that the holes have a ?critical? size. We study the asymptotic behaviour of the outgoing solutions of the steady-state scattering problem and we prove that an extra term appears in the limit equation. Finally, we obtain convergence results for scattering frequencies and solutions.},
author = {Chiadò Piat, V., Codegone, M.},
journal = {RACSAM},
keywords = {Ecuaciones diferenciales elípticas; Ecuación de onda; Difracción; Operador laplaciano; Problemas de valor de frontera; Problema de Dirichlet; Comportamiento asintótico; reduced wave equation; Helmholtz equation; Dirichlet boundary conditions; Sommerfeld radiation condition; perforated unbounded domains; asymptotic behaviour; steady-state scattering problem},
language = {eng},
number = {3},
pages = {447-454},
title = {Scattering problems in a domain with small holes.},
url = {http://eudml.org/doc/40991},
volume = {97},
year = {2003},
}

TY - JOUR
AU - Chiadò Piat, V.
AU - Codegone, M.
TI - Scattering problems in a domain with small holes.
JO - RACSAM
PY - 2003
VL - 97
IS - 3
SP - 447
EP - 454
AB - In this paper, we consider a family of scattering problems in perforated unbounded domains Ωε. We assume that the perforation is contained in a bounded region and that the holes have a ?critical? size. We study the asymptotic behaviour of the outgoing solutions of the steady-state scattering problem and we prove that an extra term appears in the limit equation. Finally, we obtain convergence results for scattering frequencies and solutions.
LA - eng
KW - Ecuaciones diferenciales elípticas; Ecuación de onda; Difracción; Operador laplaciano; Problemas de valor de frontera; Problema de Dirichlet; Comportamiento asintótico; reduced wave equation; Helmholtz equation; Dirichlet boundary conditions; Sommerfeld radiation condition; perforated unbounded domains; asymptotic behaviour; steady-state scattering problem
UR - http://eudml.org/doc/40991
ER -