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Lecture Series on Partial Differential Equations.

Speaker: Kirill Cherednichenko.

Affiliation: University of Bath.

Title: Periodic PDEs with micro-resonators: unified approach to
homogenisation and time-dispersive media.

Venue: Ramanujan Hall, Department of Mathematics.

Thursday 18 April, 10.00 am - 12.00 pm

Lecture III:

Periodic media with resonant components (“high contrast composites”). Gelfand transform and direct integral: a reduction of the full-space problem
to a family of “transmission” problems on the period cell. A reformulation in terms
of the M-operator on the interface. Diagonalisation of the M-operator on the nonresonant component: Steklov eigenvalue problem.

Kirill Cherednichenko, University of Bath