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Contemporary Mathematics. Fundamental Directions, 2006, Volume 17, Pages 88–109
(Mi cmfd59)
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This article is cited in 11 scientific papers (total in 11 papers)
Spectral properties of some problems in mechanics of strongly inhomogeneous media
D. A. Kosmodem'yanskiia, A. S. Shamaevb a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b A. Ishlinsky Institite for Problems in Mechanics, Russian Academy of Sciences
Abstract:
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.
Citation:
D. A. Kosmodem'yanskii, A. S. Shamaev, “Spectral properties of some problems in mechanics of strongly inhomogeneous media”, Proceedings of the Fourth International Conference on Differential and Functional-Differential Equations (Moscow, August 14–21, 2005). Part 3, CMFD, 17, PFUR, M., 2006, 88–109; Journal of Mathematical Sciences, 149:6 (2008), 1679–1700
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https://www.mathnet.ru/eng/cmfd59 https://www.mathnet.ru/eng/cmfd/v17/p88
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Abstract page: | 386 | Full-text PDF : | 135 | References: | 51 |
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