59 citations · 456 across the 26 of their papers we have counts for
7 papers · 1 filter
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…
Asymptotic analysis, polarization matrices and topological derivatives for piezoelectric materials with small voids
G. Cardone, S. A. Nazarov, J. Sokolowski
Asymptotic formulae for the mechanical and electric fields in a piezoelectric body with a small void are derived and justified. Such results are new and useful for applications in…
The localization effect for eigenfunctions of the mixed boundary value problem in a thin cylinder with distorted ends
G. Cardone, T. Durante, S. A. Nazarov
A simple sufficient condition on curved end of a straight cylinder is found that provides a localization of the principal eigenfunction of the mixed boundary value for the Laplace…
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…
Spectral approach to homogenization of an elliptic operator periodic in some directions
R. Bunoiu, G. Cardone, T. Suslina
The operator \[ A_{\varepsilon}= D_{1} g_{1}(x_{1}/\varepsilon, x_{2}) D_{1} + D_{2} g_{2}(x_{1}/\varepsilon, x_{2}) D_{2} \] is considered in , where $g_{…
Complete asymptotic expansions for eigenvalues of Dirichlet Laplacian in thin three-dimensional rods
D. Borisov, G. Cardone
We consider Dirichlet Laplacian in a thin curved three-dimensional rod. The rod is finite. Its cross-section is constant and small, and rotates along the reference curve in an arbi…