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

被引：0
|
作者：
Iovane, G.
Sumbatyan, M. A.
Tibullo, V.
机构：
来源：
PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2007年 / 71卷 / 04期
关键词：
D O I：
10.1016/j.jappmathmech.2007.09.015
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (c) 2007 Elsevier Ltd. All rights reserved.
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页码：622 / 631
页数：10
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