Email this article Weak solvability of the generalized Voigt viscoelasticity model
- Authors: Orlov V.P.1, Rode D.A.2, Pliev M.A.3,4
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Affiliations:
- Voronezh State University, Institute of Mathematics
- Voronezh State University
- Southern Mathematical Institute
- Russia Peoples’ Friendship University of Russia
- Issue: Vol 58, No 5 (2017)
- Pages: 859-874
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/171473
- DOI: https://doi.org/10.1134/S0037446617050135
- ID: 171473
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Abstract
We establish the existence and uniqueness of a weak solution to an initial boundary value problem for the system of the motion equations of a fluid that is a fractional analog of the Voigt viscoelasticity model. The rheological equation of the model contains fractional derivatives.
About the authors
V. P. Orlov
Voronezh State University, Institute of Mathematics
Author for correspondence.
Email: orlov_vp@mail.ru
Russian Federation, Voronezh
D. A. Rode
Voronezh State University
Email: orlov_vp@mail.ru
Russian Federation, Voronezh
M. A. Pliev
Southern Mathematical Institute; Russia Peoples’ Friendship University of Russia
Email: orlov_vp@mail.ru
Russian Federation, Vladikavkaz; Moscow
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