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Global Solvability of a System of Equations of One-Dimensional Motion of a Viscous Fluid in a Deformable Viscous Porous Medium

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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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Authors and Affiliations

  1. Altai State University, pr. Lenina 61, Barnaul, 656049, Russia

    M. A. Tokareva & A. A. Papin

Authors
  1. M. A. Tokareva
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  2. A. A. Papin
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Correspondence to M. A. Tokareva or A. A. Papin.

Additional information

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

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