2 citations · 2 across the 1 of their papers we have counts for
3 papers
math.AP2020★ 2 cited
On meso-scale approximations for vibrations of membranes with lower-dimensional clusters of inertial inclusions
Vladimir Maz'ya, Alexander Movchan, Michael Nieves
In this paper we consider formal asymptotic algorithms for a class of meso-scale approximations for problems of vibration of elastic membranes, which contain clusters of small iner…
physics.class-ph2018
Vibrations and elastic waves in chiral multi-structures
Michael Nieves, Giorgio Carta, Ian Jones +2
We develop a new asymptotic model of the dynamic interaction between an elastic structure and a system of gyroscopic spinners that make the overall multi-structure chiral. An impor…
math-ph2016
Eigenvalue problem in a solid with many inclusions: asymptotic analysis
V. G. Maz'ya, A. B. Movchan, M. J. Nieves
We construct the asymptotic approximation to the first eigenvalue and corresponding eigensolution of Laplace's operator inside a domain containing a cloud of small rigid inclusions…