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20062019
most citedEffective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I

30 citations

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Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2018Show all

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math.AP2018★ 30 cited

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…

math-ph2018★ 2 cited

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…