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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Russian Text © The Author(s), 2019, published in Sibirskii Zhurnal Industrial’noi Matematiki, 2019, Vol. XXII, No. 2, pp. 81–93.
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Tokareva, M.A., Papin, A.A. Global Solvability of a System of Equations of One-Dimensional Motion of a Viscous Fluid in a Deformable Viscous Porous Medium. J. Appl. Ind. Math. 13, 350–362 (2019). https://doi.org/10.1134/S1990478919020169
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DOI: https://doi.org/10.1134/S1990478919020169