Geodesic
On a Model Analogue of the Helmholtz Resonator in Homogenization
Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 79-86

Voir la notice de l'article provenant de la source Math-Net.Ru

A boundary value problem for the Helmholtz equation in $\mathbb R^2$ with the Dirichlet boundary condition on a set of arcs is considered. This set is obtained from the circle by cutting out small-size openings that are arranged periodically and are close to each other. The relation between the size of the openings and the size of the boundary is established under which the boundary value problem considered is an analogue of the Helmholtz resonator with the Dirichlet boundary condition. The asymptotics of the poles with small imaginary parts is constructed for the analytic continuation of the solution to the perturbed boundary value problem. 
@article{TRSPY_2002_236_a8,
     author = {R. R. Gadyl'shin},
     title = {On a {Model} {Analogue} of the {Helmholtz} {Resonator} in {Homogenization}},
     journal = {Informatics and Automation},
     pages = {79--86},
     publisher = {mathdoc},
     volume = {236},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a8/}
}
TY  - JOUR
AU  - R. R. Gadyl'shin
TI  - On a Model Analogue of the Helmholtz Resonator in Homogenization
JO  - Informatics and Automation
PY  - 2002
SP  - 79
EP  - 86
VL  - 236
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a8/
LA  - ru
ID  - TRSPY_2002_236_a8
ER  - 
%0 Journal Article
%A R. R. Gadyl'shin
%T On a Model Analogue of the Helmholtz Resonator in Homogenization
%J Informatics and Automation
%D 2002
%P 79-86
%V 236
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a8/
%G ru
%F TRSPY_2002_236_a8
R. R. Gadyl'shin. On a Model Analogue of the Helmholtz Resonator in Homogenization. Informatics and Automation, Differential equations and dynamical systems, Tome 236 (2002), pp. 79-86. http://geodesic.mathdoc.fr/item/TRSPY_2002_236_a8/