Kirill D. Cherednichenko

collaborators

3 papers

math.AP2026

Spatial non-locality of the Maxwell system on periodic structures

Kirill Cherednichenko, Serena D'Onofrio

For $ε > 0,$ we analyse the Maxwell system of equations of electromagnetism on $ε$ -periodic sets $S^{ε} \subset R^{3} .$ Assuming that a family of Bo…

math.SP2024

Functional model for generalised resolvents and its application to time-dispersive media

Kirill D. Cherednichenko, Yulia Yu. Ershova, Sergey N. Naboko

Motivated by recent results concerning the asymptotic behaviour of differential operators with highly contrasting coefficients, which have involved effective descriptions involving…

math.AP2024

Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures

Kirill Cherednichenko, Serena D'Onofrio

For arbitrarily small values of $ε > 0,$ we formulate and analyse the Maxwell system of equations of electromagnetism on $ε$ -periodic sets $S^\varepsilon\subset{\…