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Characteristic properties of the system of equations for an incompressible viscoelastic Maxwell medium

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Abstract

Characteristics of a system of equations that describe three-dimensional motion of an incompressible viscoelastic Maxwell medium with the upper and lower convective derivatives and the rotational Jaumann derivative being used in the rheological relation are calculated. An initial-boundary-value problem is formulated for the system linearized in the vicinity of the state at rest, and its unique solvability is established.

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Authors and Affiliations

  1. School of Mathematics, Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand

    S. V. Meleshko

  2. Altai State University, Barnaul, 656049, Russia

    A. G. Petrova

  3. Lavrent’ev Institute of Hydrodynamics, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia

    V. V. Pukhnachev

  4. Novosibirsk State University, Novosibirsk, 630090, Russia

    V. V. Pukhnachev

Authors
  1. S. V. Meleshko
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  2. A. G. Petrova
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  3. V. V. Pukhnachev
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Correspondence to S. V. Meleshko.

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Original Russian Text © S.V. Meleshko, A.G. Petrova, V.V. Pukhnachev.

Translated from Prikladnaya Mekhanika i Tekhnicheskaya Fizika, Vol. 58, No. 5, pp. 44–50, September–October, 2017.

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Meleshko, S.V., Petrova, A.G. & Pukhnachev, V.V. Characteristic properties of the system of equations for an incompressible viscoelastic Maxwell medium. J Appl Mech Tech Phy 58, 794–800 (2017). https://doi.org/10.1134/S0021894417050042

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  • DOI: https://doi.org/10.1134/S0021894417050042

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