Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide

D Gómez, SA Nazarov, R Orive‐Illera… - Mathematische …, 2023 - Wiley Online Library
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 …

Spectral gaps in a double-periodic perforated Neumann waveguide

D Gómez, SA Nazarov, R Orive-Illera… - Asymptotic …, 2023 - content.iospress.com
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 …

Gaps in the spectrum of thin waveguides with periodically locally deformed walls

SA Nazarov - Computational Mathematics and Mathematical Physics, 2024 - Springer
The structures of quantum and acoustic waveguides obtained by joining a periodic family of
small knots to a thin cylinder are examined. Asymptotic expansions of eigenvalues of a …

Asymptotics for the spectrum of a Floquet-parametric family of homogenization problems associated with a Dirichlet waveguide

D Gómez, S A. Nazarov, R Orive-Illera… - Integral Methods in …, 2022 - Springer
In this chapter, we address the asymptotic behavior of the eigenvalues and eigenfunctions of
a parametric family of problems for the Laplace operator posed on a rectangular perforated …

Spectral gaps in a double-periodic perforated Neumann waveguide

D Gómez Gandarillas, SA Nazarov, R Orive Illera… - 2023 - repositorio.unican.es
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 …

Asymptotic stability of the spectrum of a parametric family of homogenization problems associated with a perforated waveguide

D Gómez Gandarillas, SA Nazarov, R Orive Illera… - 2023 - repositorio.unican.es
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 …

A Revisit to a Double-Periodic Perforated Neumann Waveguide: Opening Spectral Gaps

D Gómez, SA Nazarov, R Orive-Illera… - … Conference on Integral …, 2022 - Springer
In this paper, we revisit the problem of opening gaps in the essential spectrum of a
Neumann waveguide considered first in [GoEtAl23a]. We provide a new perspective for …

Workshop on Nonlinear Analysis and Control Theory in Honor of Professor Enrique Zuazua for his 60th birthday

R Orive-Illera - static.cmm.uchile.cl
We examine the band-gap structure of the spectrum of the Dirichlet and Neumann problems
for the Laplace operator in a strip with periodic dense transversal perforation by identical …