Projects per year
Abstract
A novel approach to critical-contrast homogenisation for periodic PDEs is proposed, via an explicit asymptotic analysis of Dirichlet-to-Neumann operators. Norm-resolvent asymptotics for non-uniformly elliptic problems with highly oscillating coefficients are explicitly constructed. An essential feature of the new technique is that it relates homogenisation limits to a class of time-dispersive media.
Original language | English |
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Pages (from-to) | 1833-1884 |
Number of pages | 52 |
Journal | Communications in Mathematical Physics |
Volume | 375 |
Issue number | 3 |
Early online date | 21 Feb 2020 |
DOIs | |
Publication status | Published - 31 May 2020 |
Fingerprint Dive into the research topics of 'Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I'. Together they form a unique fingerprint.
Projects
- 4 Finished
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Bath-Chile-Mexico Network
Kyprianou, A., Cherednichenko, K., Cox, A., Musso, M., Del Pino, M., Majumdar, A., Maas, A., Jara, A., Rivero, V. & Benítez, H.
1/07/18 → 31/08/20
Project: Research-related funding
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Newton Mobility Grant -: Homogenisation of Degenerate Equations and Scattering for New Materials
1/02/17 → 31/01/19
Project: Research council
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Global Mobility Scheme - Metamaterials and scattering: Mathematical Foundations
1/03/15 → 1/02/16
Project: Research-related funding