Localized waves in a doubly periodic elastic plane with a periodic row of defects

DOI10.1134/S1028335809120052zbMath1420.74005OpenAlexW2116990614MaRDI QIDQ844809

Sergueï A. Nazarov

Publication date: 5 February 2010

Published in: Doklady Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1028335809120052

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Composite and mixture properties (74E30) Linear waves in solid mechanics (74J05) Homogenization and oscillations in dynamical problems of solid mechanics (74Q10)

Cites Work

• Embedded trapped modes in water waves and acoustics
• Scattering theory for diffraction gratings
• Elliptic problems in domains with piecewise smooth boundaries
• Guided waves by electromagnetic gratings and non‐uniqueness examples for the diffraction problem
• Existence theorems for trapped modes
• MATHEMATICAL ANALYSIS OF ELASTIC SURFACE WAVES IN TOPOGRAPHIC WAVEGUIDES

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