3 citations · 7 across the 10 of their papers we have counts for
11 papers
Homogenization and linearization in magnetoelasticity under small elastic response
Mikhail Cherdantsev, Elisa Davoli, Lorenza D'Elia +1
We perform a simultaneous homogenization and linearization analysis for a magnetoelastic energy functional featuring a mixed Eulerian-Lagrangian structure. Neglecting Zeeman and an…
Homogenisation and spectral convergence of high-contrast convolution type operators
Mikhail Cherdantsev, Andrey Piatnitski, Igor Velcic
The paper deals with homogenisation problems for high-contrast symmetric convolution-type operators with integrable kernels in media with a periodic microstructure. We adapt the tw…
Quantitative estimates for high-contrast random media
Peter Bella, Matteo Capoferri, Mikhail Cherdantsev +1
This paper studies quantitative homogenization of elliptic equations with random, uniformly elliptic coefficients that vanish in a union of random holes. Assuming an upper bound on…
High-contrast random systems of PDEs: homogenisation and spectral theory
Matteo Capoferri, Mikhail Cherdantsev, Igor Velčić
We develop a qualitative homogenisation and spectral theory for elliptic systems of partial differential equations in divergence form with highly contrasting (i.e., non uniformly e…
High-contrast random composites: homogenisation framework and new spectral phenomena
Mikhail Cherdantsev, Kirill Cherednichenko, Igor Velčić
We develop a framework for multiscale analysis of elliptic operators with high-contrast random coefficients. For a general class of such operators, we provide a detailed spectral a…
Eigenfunctions localised on a defect in high-contrast random media
Matteo Capoferri, Mikhail Cherdantsev, Igor Velčić
We study the properties of eigenvalues and corresponding eigenfunctions generated by a defect in the gaps of the spectrum of a high-contrast random operator. We consider a family o…
Stochastic homogenisation of high-contrast media
Mikhail Cherdantsev, Kirill Cherednichenko, Igor Velčić
Using a suitable stochastic version of the compactness argument of [V. V. Zhikov, 2000. On an extension of the method of two-scale convergence and its applications. Sb. Math., 191(…
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…
Bending of thin periodic plates
Mikhail Cherdantsev, Kirill Cherednichenko
We show that nonlinearly elastic plates of thickness with an -periodic structure such that exhibit non-standard behaviour in the asym…
High contrast homogenisation in nonlinear elasticity under small loads
Mikhail Cherdantsev, Kirill Cherednichenko, Stefan Neukamm
We study the homogenisation of geometrically nonlinear elastic composites with high contrast. The composites we analyse consist of a perforated matrix material, which we call the "…
Spectral convergence for high contrast elliptic periodic problems with a defect via homogenization
M. I. Cherdantsev
We consider an eigenvalue problem for a divergence form elliptic operator with high contrast periodic coefficients with period in each coordinate, where is a small pa…