5 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 VelÄiÄ
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 VelÄiÄ
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…