Approximation of Two-Dimensional Viscoelastic Flows of General Form
- Authors: Karazeeva N.A.1
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Affiliations:
- Steklov Mathematical Institute RAS
- Issue: Vol 232, No 3 (2018)
- Pages: 378-389
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/241321
- DOI: https://doi.org/10.1007/s10958-018-3878-x
- ID: 241321
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Abstract
We consider the initial-boundary value problem for approximations of the system of integro-differential equations generalizing the equations of motion for viscoelastic fluids. We prove the existence and convergence theorems and give some examples of non-Newtonian fluids described by the model under consideration.
About the authors
N. A. Karazeeva
Steklov Mathematical Institute RAS
Author for correspondence.
Email: karazeev@pdmi.ras.ru
Russian Federation, 27, nab. Fontanka, St. Petersburg, 191023