Email this article Initial–Boundary Value Problem for Flows of a Fluid with Memory in a 3D Network-Like Domain
- Authors: Baranovskiy E.S1
-
Affiliations:
- Voronezh State University, Voronezh, 394018, Russia
- Issue: Vol 59, No 4 (2023)
- Pages: 501-511
- Section: Articles
- URL: https://journals.rcsi.science/0374-0641/article/view/144943
- DOI: https://doi.org/10.31857/S0374064123040076
- EDN: https://elibrary.ru/ANHXKP
- ID: 144943
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Abstract
We consider an initial–boundary value problem for an integro-differential system that describes 3D flows of a non-Newtonian fluid with memory in a network-like domain. The problem statement uses the Dirichlet boundary conditions for the velocity and pressure fields as well as Kirchhoff-type transmission conditions at the internal nodes of the network. A theorem on the existence and uniqueness of a time-continuous weak solution is proved. In addition, an energy equality for this solution is derived.
About the authors
E. S Baranovskiy
Voronezh State University, Voronezh, 394018, Russia
Author for correspondence.
Email: esbaranovskii@gmail.com
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