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Equations of the motion of linear viscoelastic fluids and the equations of the filtration of fluids with delay

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Abstract

A new variant of the equations of the motion of linear viscoelastic fluids, namely Maxwell, Oldroyd, and Kelvin-Voight fluids of arbitrary order, is indicated. This variant is especially convenient for the investigation of dynamical systems, generated by initial-boundary-value problems for these equations, and for the investigation of the hydrodynamic stability of the flow of these fluids.

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Literature cited

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Authors
  1. A. P. Oskolkov
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  2. M. M. Akhmatov
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  3. A. A. Cotsiolis
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 163, pp. 132–137, 1987.

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Oskolkov, A.P., Akhmatov, M.M. & Cotsiolis, A.A. Equations of the motion of linear viscoelastic fluids and the equations of the filtration of fluids with delay. J Math Sci 49, 1203–1206 (1990). https://doi.org/10.1007/BF02208716

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  • DOI: https://doi.org/10.1007/BF02208716

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