7 citations · 11 across the 4 of their papers we have counts for
5 papers
Complete WKB asymptotics of high frequency vibrations in a stiff problem
N. Babych, Yu. Golovaty
Asymptotic behaviour of eigenvalues and eigenfunctions of a stiff problem is described in the case of the fourth-order ordinary differential operator. Considering the stiffness coe…
High frequency asymptotics of global vibrations in a problem with concentrated mass
Natalia Babych
We consider an elastic system containing a small region where the density is very much higher then elsewhere. Such system possesses two types of eigenvibrations, which are local an…
Low and high frequency approximations to eigenvibrations of string with double contrasts
Natalia Babych, Yuri Golovaty
We study eigenvibrations for inhomogeneous string consisting of two parts with strongly contrasting stiffness and mass density. In this work we treat a critical case for the high f…
Asymptotic analysis of vibrating system containing stiff-heavy and flexible-light parts
N. Babych, Yu. Golovaty
A model of strongly inhomogeneous medium with simultaneous perturbation of rigidity and mass density is studied. The medium has strongly contrasting physical characteristics in two…
Homogenization of spectral problems in bounded domains with doubly high contrasts
Natalia O. Babych, Ilia V. Kamotski, Valery P. Smyshlyaev
Homogenization of a spectral problem in a bounded domain with a high contrast in both stiffness and density is considered. For a special critical scaling, two-scale asymptotic expa…