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On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium

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  • D. A. Vorotnikov
  • V. G. Zvyagin

Abstract

This paper deals with the initial-boundary value problem for the system of motion equations of an incompressible viscoelastic medium with Jeffreys constitutive law in an arbitrary domain of two-dimensional or three-dimensional space. The existence of weak solutions of this problem is obtained.

Suggested Citation

  • D. A. Vorotnikov & V. G. Zvyagin, 2004. "On the existence of weak solutions for the initial-boundary value problem in the Jeffreys model of motion of a viscoelastic medium," Abstract and Applied Analysis, Hindawi, vol. 2004, pages 1-15, January.
    • Handle: RePEc:hin:jnlaaa:615104
    DOI: 10.1155/S1085337504401018
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    Cited by:

    1. Andrey Zvyagin & Ekaterina Kostenko, 2023. "Investigation of the Weak Solvability of One Viscoelastic Fractional Voigt Model," Mathematics, MDPI, vol. 11(21), pages 1-23, October.

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