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CMFD, 2016, Volume 61, Pages 41–66 (Mi cmfd301)  

This article is cited in 1 scientific paper (total in 1 paper)

Model of the Oldroyd compressible fluid

D. A. Zakoraab

a Voronezh State University, Universitetskaya Square, 1, Voronezh, 1394006, Russia
b V. I. Vernadsky Crimean Federal University, Vernadsky Avenue, 4, Simferopol, 295007, Russia

Abstract: In this paper, mathematical models of compressible viscoelastic Maxwell, Oldroyd, and Kelvin–Voigt fluids are derived. A model of rotating viscoelastic barotropic Oldroyd fluid is studied. A theorem on strong unique solvability of the corresponding initial-boundary value problem is proved. The spectral problem associated with such a system is studied. Results on the spectrum localization, essential and discrete spectra, and spectrum asymptotics are obtained. In the case where the system is in the weightlessness state and does not rotate, results on multiple completeness and basisness of a special system of elements are proved. In such a case, under condition of sufficiently large viscosity, expansion of the solution of the evolution problem with respect to a special system of elements is obtained.

Funding Agency Grant Number
Russian Science Foundation 14-21-00066


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Citation: D. A. Zakora, “Model of the Oldroyd compressible fluid”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 61, PFUR, M., 2016, 41–66

Citation in format AMSBIB
\Bibitem{Zak16}
\by D.~A.~Zakora
\paper Model of the Oldroyd compressible fluid
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2016
\vol 61
\pages 41--66
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd301}


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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. D. A. Zakora, “Model szhimaemoi zhidkosti Maksvella”, Trudy Krymskoi osennei matematicheskoi shkoly-simpoziuma, SMFN, 63, no. 2, Rossiiskii universitet druzhby narodov, M., 2017, 247–265  mathnet  crossref  mathscinet
  • Современная математика. Фундаментальные направления
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