Characteristic properties of the system of equations for an incompressible viscoelastic Maxwell medium
- Авторы: Meleshko S.V.1, Petrova A.G.2, Pukhnachev V.V.3,4
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Учреждения:
- School of Mathematics
- Altai State University
- Lavrent’ev Institute of Hydrodynamics, Siberian Branch
- Novosibirsk State University
- Выпуск: Том 58, № 5 (2017)
- Страницы: 794-800
- Раздел: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/160317
- DOI: https://doi.org/10.1134/S0021894417050042
- ID: 160317
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Аннотация
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.
Об авторах
S. Meleshko
School of Mathematics
Автор, ответственный за переписку.
Email: sergey@math.sut.ac.th
Таиланд, Nakhon Ratchasima, 30000
A. Petrova
Altai State University
Email: sergey@math.sut.ac.th
Россия, Barnaul, 656049
V. Pukhnachev
Lavrent’ev Institute of Hydrodynamics, Siberian Branch; Novosibirsk State University
Email: sergey@math.sut.ac.th
Россия, Novosibirsk, 630090; Novosibirsk, 630090
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