Email this article Global Solvability of a System of Equations of One-Dimensional Motion of a Viscous Fluid in a Deformable Viscous Porous Medium
- Authors: Tokareva M.A.1, Papin A.A.1
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Affiliations:
- Altai State University
- Issue: Vol 13, No 2 (2019)
- Pages: 350-362
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213198
- DOI: https://doi.org/10.1134/S1990478919020169
- ID: 213198
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Abstract
The mathematical statement is given for the problem of filtration of a viscous fluid in a deformable porous medium that possesses predominantly viscous properties. Some theorems are proved on local solvability and existence of a global-in-time solution in the Hölder classes for the problem.
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About the authors
M. A. Tokareva
Altai State University
Author for correspondence.
Email: tma25@mail.ru
Russian Federation, pr. Lenina 61, Barnaul, 656049
A. A. Papin
Altai State University
Author for correspondence.
Email: papin@math.asu.ru
Russian Federation, pr. Lenina 61, Barnaul, 656049
