Zobrazeno 1 - 10
of 195
pro vyhledávání: '"Nazarov, Sergei A."'
Autor:
Chesnel, Lucas, Nazarov, Sergei A.
We are interested in the lower part of the spectrum of the Dirichlet Laplacian $A^\varepsilon$ in a thin waveguide $\Pi^\varepsilon$ obtained by repeating periodically a pattern, itself constructed by scaling an inner field geometry $\Omega$ by a sma
Externí odkaz:
http://arxiv.org/abs/2401.00439
We investigate the spectrum of a Laplace operator with mixed boundary conditions in an unbounded chamfered quarter of layer. This problem arises in the study of the spectrum of the Dirichlet Laplacian in thick polyhedral domains having some symmetrie
Externí odkaz:
http://arxiv.org/abs/2303.15345
In this paper, we provide uniform bounds for convergence rates of the low frequencies of a parametric family of problems for the Laplace operator posed on a rectangular perforated domain of the plane of height $H$. The perforations are periodically p
Externí odkaz:
http://arxiv.org/abs/2302.11912
Autor:
Chesnel, Lucas, Nazarov, Sergei A.
We give a description of the lower part of the spectrum of the Dirichlet Laplacian in an unbounded 3D periodic lattice made of thin bars (of width $\varepsilon\ll1$) which have a square cross section. This spectrum coincides with the union of segment
Externí odkaz:
http://arxiv.org/abs/2301.05930
We consider the propagation of acoustic waves in a waveguide containing a penetrable dissipative inclusion. We prove that as soon as the dissipation, characterized by some coefficient $\eta$, is non zero, the scattering solutions are uniquely defined
Externí odkaz:
http://arxiv.org/abs/2207.00279
Publikováno v:
Asymptotic Analysis, vol. 131, no. 3-4, pp. 385-441, 2023
We examine the band-gap structure of the spectrum of the Neumann problem for the Laplace operator in a strip with periodic dense transversal perforation by identical holes of a small diameter $\varepsilon>0$. The periodicity cell itself contains a st
Externí odkaz:
http://arxiv.org/abs/2112.04198
We consider the propagation of acoustic waves in a 2D waveguide unbounded in one direction and containing a compact obstacle. The wavenumber is fixed so that only one mode can propagate. The goal of this work is to propose a method to cloak the obsta
Externí odkaz:
http://arxiv.org/abs/2105.00922
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 such that the energy of the modes is completely transmitted and additiona
Externí odkaz:
http://arxiv.org/abs/2102.07395
Autor:
Chesnel, Lucas, Nazarov, Sergei A.
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 of this work is to present a geometry which can serve as an energy dist
Externí odkaz:
http://arxiv.org/abs/2011.06810
Autor:
Nazarov, Sergei A., Taskinen, Jari
We consider the linear water-wave problem in a periodic channel $\Pi^h \subset \mathbb{R}^3$, which is shallow except for a periodic array of deep potholes in it. Motivated by applications to surface wave propagation phenomena, we study the band-gap
Externí odkaz:
http://arxiv.org/abs/2008.13552