Email this article On weak solutions to evolution equations of viscoelastic fluid flows
- Authors: Baranovskii E.S.1
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Affiliations:
- Voronezh State University
- Issue: Vol 11, No 2 (2017)
- Pages: 174-184
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/212669
- DOI: https://doi.org/10.1134/S199047891702003X
- ID: 212669
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Abstract
We study a system of nonlinear equations describing unsteady flows of a viscoelastic fluid of the Oldroyd type in a bounded three-dimensional domain under the mixed boundary conditions: the Navier slip condition is set on one part of the boundary, while on the other part, the no-slip condition is set. We prove the theorem concerning the existence, uniqueness, and energy estimates for weak solutions.
About the authors
E. S. Baranovskii
Voronezh State University
Author for correspondence.
Email: esbaranovskii@gmail.com
Russian Federation, Universitetskaya pl. 1, Voronezh, 394018
