20 citations · 96 across the 22 of their papers we have counts for
5 papers · 2 filters
Gaps in the spectrum of two-dimensional square packing of stiff disks
L. D'Elia, S. A. Nazarov
In this paper we investigate via an asymptotic method the opening of gaps in the spectrum of a stiff problem for the Laplace operator in perforated by contiguou…
Design of an acoustic energy distributor using thin resonant slits
Lucas Chesnel, Sergei A. Nazarov
We consider the propagation of time harmonic acoustic waves in a device with three channels. The wave number is chosen such that only the piston mode can propagate. The main goal o…
Band-gap structure of the spectrum of the water-wave problem in a shallow canal with a periodic family of deep pools
Sergei A. Nazarov, Jari Taskinen
We consider the linear water-wave problem in a periodic channel , which is shallow except for a periodic array of deep potholes in it. Motivated by applic…
Abnormal acoustic transmission in a waveguide with perforated screens
Lucas Chesnel, Sergei A. Nazarov
We consider the propagation of the piston mode in an acoustic waveguide obstructed by two screens with small holes. In general, due to the features of the geometry, almost no energ…
Surface waves in a channel with thin tunnels and wells at the bottom: non-reflecting underwater tomography
Lucas Chesnel, Sergei A. Nazarov, Jari Taskinen
We consider the propagation of surface water waves in a straight planar channel perturbed at the bottom by several thin curved tunnels and wells. We propose a method to construct n…