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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 10, Pages 1608–1617
DOI: https://doi.org/10.7868/S0044466914100135 (Mi zvmmf10098) 		 
Propagation and interaction of short waves in a homogeneous transversally isotropic elastic medium

I. N. Shchitov

St. Petersburg State University of Film and Television, ul. Pravda 13, St. Petersburg, 191119, Russia
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DOI: https://doi.org/10.7868/S0044466914100135
Abstract: The Cauchy problem for the equations of motion of a homogeneous transversally isotropic elastic medium is considered. For its solution, a short-wavelength asymptotic expansion is constructed, which is also applicable near specific directions. The resonance set, i.e., the set of points at which the ray expansion cannot be used is described.
Key words: wave propagation problem, interaction of short waves, short-wavelength asymptotics, ray method.
Received: 15.05.2012
Revised: 11.03.2014
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 10, Pages 1550–1559
DOI: https://doi.org/10.1134/S096554251410011X
Bibliographic databases:
Document Type: Article
UDC: 519.634
Language: Russian
Citation: I. N. Shchitov, “Propagation and interaction of short waves in a homogeneous transversally isotropic elastic medium”, Zh. Vychisl. Mat. Mat. Fiz., 54:10 (2014), 1608–1617; Comput. Math. Math. Phys., 54:10 (2014), 1550–1559
Citation in format AMSBIB
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