38 citations · 55 across the 11 of their papers we have counts for
12 papers
Quantitative multiscale operator-type approximations for asymptotically degenerating spectral problems
Shane Cooper, Ilia Kamotski, Valery P. Smyshlyaev
We study an abstract family of asymptotically degenerating variational problems. Those are natural generalisations of families of problems emerging upon application of a rescaled F…
Homogenisation with error estimates of attractors for damped semi-linear anisotropic wave equations
Shane Cooper, Anton Savostianov
Homogenisation of global and exponential attractors for the damped semi-linear anisotropic wave equation $\partial_t^2 u^ε+γ\partial_t u^ε-{\rm div}…
Extreme localisation of eigenfunctions to one-dimensional high-contrast periodic problems with a defect
Mikhail Cherdantsev, Kirill Cherednichenko, Shane Cooper
Following a number of recent studies of resolvent and spectral convergence of non-uniformly elliptic families of differential operators describing the behaviour of periodic composi…
Quasi-periodic two-scale homogenisation and effective spatial dispersion in high-contrast media
Shane Cooper
The convergence of spectra via two-scale convergence for double-porosity models is well known. A crucial assumption in these works is that the stiff component of the body forms a c…
Asymptotic behaviour of the spectra of systems of Maxwell equations in periodic composite media with high contrast
Kirill Cherednichenko, Shane Cooper
We analyse the behaviour of the spectrum of the system of Maxwell equations of electromagnetism, with rapidly oscillating periodic coefficients, subject to periodic boundary condit…
Asymptotic analysis of stratified elastic media in the space of functions with bounded deformation
Michel Bellieud, Shane Cooper
We consider a heterogeneous elastic structure which is stratified in some direction. We derive the limit problem under the assumption that the Lamé coefficients and their inverses…