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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2006 Volume 332, Pages 220–238 (Mi znsl271)

This article is cited in 1 paper

On the comparison of methods of computation of interference elastic wave fields in thin-layered media. 1

G. I. Petrashena, V. V. Reshetnikovb, Yu. A. Surkova

a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
b Saint-Petersburg State University

Abstract: A nonstationary problem on propagation of low-frequency waves for a model that consists of a packet of elastic layers lying on the elastic half-space is considered, exact mathematical solutions in the form of iterated integrals are constructed in three basic forms. It is proved that these solutions satisfy initial conditions. The possibility of the passage to the representation of the solution by a superposition of multiple waves is considered.

UDC: 550.834

Received: 20.06.2006


 English version:
Journal of Mathematical Sciences (New York), 2007, 142:6, 2645–2654

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