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Sibirskii Matematicheskii Zhurnal, 2010, Volume 51, Number 1, Pages 156–174 (Mi smj2074)  

This article is cited in 5 scientific papers (total in 5 papers)

Derivation of the equations of nonisothermal acoustics in elastic porous media

A. M. Meirmanov

Belgorod State University, Belgorod
Full-text PDF (369 kB) Citations (5)
References:
Abstract: We consider the problem of the joint motion of a thermoelastic solid skeleton and a viscous thermofluid in pores, when the physical process lasts for a few dozens of seconds. These problems arise in describing the propagation of acoustic waves. We rigorously derive the homogenized equations (i.e., the equations not containing fast oscillatory coefficients) which are different types of nonclassical acoustic equations depending on relations between the physical parameters and the homogenized heat equation. The proofs are based on Nguetseng's two-scale convergence method.
Keywords: nonisothermal Stokes and Lamé's equations, equations of acoustics, two-scale convergence, homogenization of periodic structures.
Received: 21.10.2007
Revised: 05.05.2009
English version:
Siberian Mathematical Journal, 2010, Volume 51, Issue 1, Pages 128–143
DOI: https://doi.org/10.1007/s11202-010-0014-7
Bibliographic databases:
UDC: 517.958:531.72+517.958:539.3(4)
Language: Russian
Citation: A. M. Meirmanov, “Derivation of the equations of nonisothermal acoustics in elastic porous media”, Sibirsk. Mat. Zh., 51:1 (2010), 156–174; Siberian Math. J., 51:1 (2010), 128–143
Citation in format AMSBIB
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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