30 citations · 94 across the 17 of their papers we have counts for
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Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures
Kirill Cherednichenko, Serena D'Onofrio
For arbitrarily small values of we formulate and analyse the Maxwell system of equations of electromagnetism on -periodic sets $S^\varepsilon\subset{\…
Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I
Kirill Cherednichenko, Yulia Ershova, Alexander Kiselev
A novel approach to critical-contrast homogenisation for periodic PDEs is proposed, via an explicit asymptotic analysis of Dirichlet-to-Neumann operators. Norm-resolvent asymptotic…
Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media
Kirill Cherednichenko, Yulia Ershova, Alexander Kiselev +1
A novel approach to critical-contrast homogenisation is proposed. Norm-resolvent asymptotics are explicitly constructed. An essential feature of our approach is that it relates hom…
Time-Dispersive Behaviour as a Feature of Critical Contrast Media
Kirill Cherednichenko, Yulia Ershova, Alexander V. Kiselev
Motivated by the urgent need to attribute a rigorous mathematical meaning to the term "metamaterial", we propose a novel approach to the homogenisation of critical-contrast composi…
Sharp operator-norm asymptotics for thin elastic plates with rapidly oscillating periodic properties
Kirill Cherednichenko, Igor Velčić
We analyse a system of partial differential equations describing the behaviour of an elastic plate with periodic moduli in the two planar directions, in the asymptotic regime when…
Operator-norm convergence estimates for elliptic homogenisation problems on periodic singular structures
Kirill Cherednichenko, Serena D'Onofrio
For a an arbitrary periodic Borel measure , we prove order operator-norm resolvent estimates for the solutions to scalar elliptic problems in $L^2({\mathbb R}^d…