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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 332, Pages 299–312 (Mi znsl275)

This article is cited in 1 paper

On dispersion of nonstationary surface waves in anisotropic elastic media

Z. A. Yanson

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences

Abstract: The whispering gallery modes propagating along the surface of anisotropic elastic body, with the use of space-time caustic expansions and space-time ray series are investigated. A separate nonstationary mode is interpreted as a wave packet formed by almost harmonic waves. On the boundary surface the asymptotic expressions for the group velocity (as function of time and coordinates) are deduced, which are in agreement with analogous formulas for Rayleigh waves of $SV$ type in isotropic case.

UDC: 550.344.55, 550.834

Received: 20.06.2006


 English version:
Journal of Mathematical Sciences (New York), 2007, 142:6, 2689–2696

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© Steklov Math. Inst. of RAS, 2025