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Spectral properties of some problems in mechanics of strongly nonhomogeneous media

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Abstract

Spectral properties of the following three homogenized problems in the mechanics of strongly nonhomogeneous media are considered: the “double porosity” problem, the oscillation problem for a mixture of two viscous compressible liquids, and the oscillation of a medium consisting of an elastic frame and a viscous liquid. For all three cases results on the structure of the spectrum and on the existence of so-called “spectral gaps” are obtained.

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References

  1. V. V. Zhikov, “On an Extension of the Method of Two-Scale Convergence and Its Applications,” Matem. Sborn. 191(7), 31 (2000). [Sbornik: Math. 191, 973 (2000)].

    MathSciNet  Google Scholar 

  2. G. Nguetseng, “Asymptotic Analysis for a Stiff Variational Problem Arising in Mechanics,” SIAM J. Math. Anal. 21, 1396 (1990).

    Article  MathSciNet  Google Scholar 

  3. E. Sanchez-Palencia, Non-Homogeneous Media and Vibration Theory (Springer-Verlag, New York, 1980; Mir, Moscow, 1984).

    MATH  Google Scholar 

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Authors and Affiliations

  1. Faculty of Mechanics and Mathematics, Moscow State University, Leninskie Gory, Moscow, 119899, Russia

    D. A. Kosmodem’yanskii

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  1. D. A. Kosmodem’yanskii
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Original Russian Text © D.A. Kosmodem’yanskii, 2007, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2007, Vol. 62, No. 2, pp. 17–21.

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Kosmodem’yanskii, D.A. Spectral properties of some problems in mechanics of strongly nonhomogeneous media. Moscow Univ. Math. Bull. 62, 56–60 (2007). https://doi.org/10.3103/S0027132207020039

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  • DOI: https://doi.org/10.3103/S0027132207020039

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