26 citations · 63 across the 7 of their papers we have counts for
10 papers
Scalar problems in junctions of rods and a plate. II. Self-adjoint extensions and simulation models
Renata Bunoiu, Giuseppe Cardone, Sergey A. Nazarov
In this work we deal with a scalar spectral mixed boundary value problem in a spacial junction of thin rods and a plate. Constructing asymptotics of the eigenvalues, we employ two…
A two dimensional model of curvilinear blood vessels with layered elastic walls
Arpan Ghosh, Vladimir Kozlov, Sergey Nazarov +1
We present a two dimensional model describing the elastic behaviour of the wall of a curved blood vessel. The wall has a laminate structure consisting of several anisotropic layers…
The spectrum, radiation conditions and the Fredholm property for the Dirichlet Laplacian in a perforated plane with semi-infinite inclusions
Giuseppe Cardone, Tiziana Durante, Sergey A. Nazarov
We consider the spectral Dirichlet problem for the Laplace operator in the plane with double-periodic perforation but also in the domain with a semi-infin…
Thin elastic plates supported over small areas. II. Variational-asymptotic models
G. Buttazzo, G. Cardone, S. A. Nazarov
An asymptotic analysis is performed for thin anisotropic elastic plate clamped along its lateral side and also supported at a small area of one base with diameter of the sa…
Embedded eigenvalues of the Neumann problem in a strip with a box-shaped perturbation
G. Cardone, T. Durante, S. A. Nazarov
We consider the spectral Neumann problem for the Laplace operator in an acoustic waveguide obtained from a straight unit strip by a low box-shaped perturbatio…
Thin elastic plates supported over small areas. I. Korn's inequalities and boundary layers
G. Buttazzo, G. Cardone, S. A. Nazarov
A thin anisotropic elastic plate clamped along its lateral side and also supported at a small area of one base is considered; the diameter of is of the same order a…
A curious instability phenomenon for a rounded corner in presence of a negative material
Lucas Chesnel, Xavier Claeys, Sergey A. Nazarov
We study a 2D scalar harmonic wave transmission problem between a classical dielectric and a medium with a real-valued negative permittivity/permeability which models a metal at op…
A sufficient condition for a discrete spectrum of the Kirchhoff plate with an infinite peak
F. L. Bakharev, S. A. Nazarov, G. H. Sweers
Sufficient conditions for a discrete spectrum of the biharmonic equation in a two-dimensional peak-shaped domain are established. Different boundary conditions from Kirchhoff's pla…
A gap in the continuous spectrum of a cylindrical waveguide with a periodic perturbation of the surface
G. Cardone, S. A. Nazarov, C. Perugia
It is proved that small periodic singular perturbation of a cylindrical waveguide surface may open a gap in the continuous spectrum of the Dirichlet problem for the Laplace operato…
Water-waves modes trapped in a canal by a body with the rough surface
G. Cardone, T. Durante, S. A. Nazarov
The problem about a body in a three dimensional infinite channel is considered in the framework of the theory of linear water-waves. The body has a rough surface characterized by a…