Email this article Characteristic properties of the system of equations for an incompressible viscoelastic Maxwell medium
- Authors: Meleshko S.V.1, Petrova A.G.2, Pukhnachev V.V.3,4
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Affiliations:
- School of Mathematics
- Altai State University
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch
- Novosibirsk State University
- Issue: Vol 58, No 5 (2017)
- Pages: 794-800
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/160317
- DOI: https://doi.org/10.1134/S0021894417050042
- ID: 160317
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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.
About the authors
S. V. Meleshko
School of Mathematics
Author for correspondence.
Email: sergey@math.sut.ac.th
Thailand, Nakhon Ratchasima, 30000
A. G. Petrova
Altai State University
Email: sergey@math.sut.ac.th
Russian Federation, Barnaul, 656049
V. V. Pukhnachev
Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University
Email: sergey@math.sut.ac.th
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090
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