activity
20172021
most citedSelf-adjoint and skew-symmetric extensions of the Laplacian with singular Robin boundary condition

11 citations · 19 across the 6 of their papers we have counts for

collaborators

14 papers

math.AP2021

Design of a mode converter using thin resonant ligaments

Lucas Chesnel, Jérémy Heleine, Sergei A. Nazarov

The goal of this work is to design an acoustic mode converter. More precisely, the wave number is chosen so that two modes can propagate. We explain how to construct geometries suc…

math.AP2021

Modeling of fluid flow in a flexible vessel with elastic walls

V. Kozlov, S. Nazarov, G. Zavorokhin

We exploit a two-dimensional model [7], [6] and [1] describing the elastic behavior of the wall of a flexible blood vessel which takes interaction with surrounding muscle tissue an…

math.AP2020

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…

math.AP20203 cited

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…

math.AP2020

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…

math.AP2020

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…