Spectral properties of some problems in mechanics of strongly inhomogeneous media

被引：0
|
作者：
Shamaev A.S. [1 ]
Kosmodemyanskii D.A. [2 ]
机构：
[1] Institute of Problems in Mechanics, Russian Academy of Sciences
[2] Faculty of Mechanics and Mathematics, Lomonosov Moscow State University
来源：
Journal of Mathematical Sciences | 2008年 / 149卷 / 6期
关键词：
Meromorphic Function; Real Root; Inhomogeneous Medium; Homogenize Model; Composite Medium;
D O I：
10.1007/s10958-008-0089-x
中图分类号：
学科分类号：
摘要：
Spectral properties of the following three homogenized problems in mechanics of strongly inhomogeneous media are considered: the problem of "double porosity," the problem of vibration of a mixture of two viscous compressible fluids, and the problem of vibration of a medium consisting of an elastic frame and a viscous fluid. Interesting results about the structure of spectra and the presence of so-called "spectral gaps" are obtained for each of these cases. © 2008 Springer Science+Business Media, Inc.
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页码：1679 / 1700
页数：21
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