Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I
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Publication:2181958
DOI10.1007/s00220-020-03696-2zbMath1462.35040arXiv1808.03961OpenAlexW2906314800WikidataQ114230951 ScholiaQ114230951MaRDI QIDQ2181958
Yulia Yu. Ershova, Alexander V. Kiselev, Kirill D. Cherednichenko
Publication date: 20 May 2020
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1808.03961
Asymptotic behavior of solutions to PDEs (35B40) General topics in linear spectral theory for PDEs (35P05) Effective constitutive equations in solid mechanics (74Q15) Second-order elliptic equations (35J15) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)
Related Items (15)
Operator-norm resolvent asymptotic analysis of continuous media with high-contrast inclusions ⋮ Mathematical analysis of electromagnetic scattering by dielectric nanoparticles with high refractive indices ⋮ Effective behaviour of critical-contrast PDEs: micro-resonances, frequency conversion, and time dispersive properties. I ⋮ Operator-norm resolvent estimates for thin elastic periodically heterogeneous rods in moderate contrast ⋮ Homogenization of sound-soft and high-contrast acoustic metamaterials in subcritical regimes ⋮ FUNCTIONAL MODEL FOR BOUNDARY‐VALUE PROBLEMS ⋮ The electromagnetic waves generated by a cluster of nanoparticles with high refractive indices ⋮ Modal decompositions and point scatterer approximations near the Minnaert resonance frequencies ⋮ Working session: Quantitative stochastic homogenization. Abstracts from the working session held October 16--22, 2022 ⋮ On operator estimates in homogenization of nonlocal operators of convolution type ⋮ Sharp operator‐norm asymptotics for thin elastic plates with rapidly oscillating periodic properties ⋮ Time-Dispersive Behavior as a Feature of Critical-Contrast Media ⋮ Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media ⋮ Spectral and evolution analysis of composite elastic plates with high contrast ⋮ Operator-norm homogenisation estimates for the system of Maxwell equations on periodic singular structures
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