30 citations · 94 across the 17 of their papers we have counts for
11 papers · 1 filter
Norm-resolvent asymptotics for the Neumann Laplacian on periodic resonant thin structures
Kirill Cherednichenko, Chuanjie Wu
We consider the Neumann Laplacian on a three-dimensional periodic network of thin rods with edge thickness of order and vertex diameter of order . We extend the fixed-…
Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. II
Kirill Cherednichenko, Alexander Kiselev, Igor Velčić +1
We construct an order-sharp theory for a double-porosity model in the full linear elasticity setup. Crucially, we uncover time and frequency dispersive properties of highly oscilla…
Norm-resolvent convergence for Neumann Laplacians on manifolds thinning to graphs
Kirill D. Cherednichenko, Yulia Yu. Ershova, Alexander V. Kiselev
Norm-resolvent convergence with order-sharp error estimate is established for Neumann Laplacians on thin domains in converging to metric graphs in the limi…
Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast
Kirill Cherednichenko, Igor Velčić, Josip Žubrinić
We provide resolvent asymptotics as well as various operator-norm estimates for the system of linear partial differential equations describing the thin infinite elastic rod with ma…
Spatial non-locality of the Maxwell system on periodic structures
Kirill Cherednichenko, Serena D'Onofrio
For we analyse the Maxwell system of equations of electromagnetism on -periodic sets Assuming that a family of Bo…
Functional model for boundary-value problems
Kirill D. Cherednichenko, Alexander V. Kiselev, Luis O. Silva
We develop a functional model for operators arising in the study of boundary-value problems of materials science and mathematical physics. We then provide explicit formulae for the…
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…
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…
Resolvent estimates in homogenisation of periodic problems of fractional elasticity
Kirill Cherednichenko, Marcus Waurick
We provide operator-norm convergence estimates for solutions to a time-dependent equation of fractional elasticity in one spatial dimension, with rapidly oscillating coefficients t…