Short-wave asymptotic behavior of space-time creeping waves in elasticity theory

DOI10.1007/BF01100151zbMath0622.73027MaRDI QIDQ1091169

Z. A. Yanson

Publication date: 1987

Published in: Journal of Soviet Mathematics (Search for Journal in Brave)

zbMATH Keywords

Airy functioneikonal equationcaustic expansion for longitudinal wavedeep shadow zoneelastic space-time wavespace-time ray series for transverse waveuniform high-frequency asymptotic expansion of wave fieldunstressed convex surface

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Bulk waves in solid mechanics (74J10) Wave scattering in solid mechanics (74J20)

Cites Work

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• High-frequency asymptotic representation of a wave field concentrated near the boundary of an elastic medium
• Uniform asymptotic theory of creeping waves

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