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Zapiski Nauchnykh Seminarov POMI, 2005, Volume 324, Pages 148–179 (Mi znsl369)  

On attenuation of waves propagating in fluid mixtures

L. A. Molotkov

St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
References:
Abstract: Wave propagation in fluid mixtures is investigated on the basis of effective models of block and layer media. These models are anisotropic fluids described by wave equations. In the pointed out equations, additional terms describing wave attenuation are introduced. This attenuation is connected with friction force proporitional to difference of tangent displacements on boundaries. In consequence of the attenuation the total energy of the wave field decreases steadly and amplitudes of the waves reduce with time by expotential law. This law of descreasing is determined by attenuation coefficients. The mentioned attenuation coefficients is determined in the two cases, that two fluids are mixed thoroughly and that the particles of one fluid are inclusions into another fluid. The suggested approach permits to consider also more complicated fluid mixtures.
Received: 10.02.2005
English version:
Journal of Mathematical Sciences (New York), 2006, Volume 138, Issue 2, Pages 5565–5583
DOI: https://doi.org/10.1007/s10958-006-0325-1
Bibliographic databases:
UDC: 550.34
Language: Russian
Citation: L. A. Molotkov, “On attenuation of waves propagating in fluid mixtures”, Mathematical problems in the theory of wave propagation. Part 34, Zap. Nauchn. Sem. POMI, 324, POMI, St. Petersburg, 2005, 148–179; J. Math. Sci. (N. Y.), 138:2 (2006), 5565–5583
Citation in format AMSBIB
\Bibitem{Mol05}
\by L.~A.~Molotkov
\paper On attenuation of waves propagating in fluid mixtures
\inbook Mathematical problems in the theory of wave propagation. Part~34
\serial Zap. Nauchn. Sem. POMI
\yr 2005
\vol 324
\pages 148--179
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl369}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2159353}
\zmath{https://zbmath.org/?q=an:1083.76019}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2006
\vol 138
\issue 2
\pages 5565--5583
\crossref{https://doi.org/10.1007/s10958-006-0325-1}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748556568}
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  • https://www.mathnet.ru/eng/znsl369
  • https://www.mathnet.ru/eng/znsl/v324/p148
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