Kirill D. Cherednichenko

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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.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{\…