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A mixed boundary-value problem for the wave equation in a stratified medium for high-frequency oscillations

โœ Scribed by G. Iovane; M.A. Sumbatyan; V. Tibullo

Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
314 KB
Volume
71
Category
Article
ISSN
0021-8928

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โœฆ Synopsis

A boundary-value problem for the wave equation in a stratified medium with mixed boundary conditions on the boundary in the case of high oscillation frequencies is considered. The Helmholtz equation for a velocity function increasing monotonically with depth is investigated. The problem is reduced to an integral equation in the high-frequency approximation, and an explicitly smooth term of its asymptotic solution is constructed.

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