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Journal of Applied and Industrial Mathematics

, Volume 13, Issue 2, pp 350–362 | Cite as

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

  • M. A. TokarevaEmail author
  • A. A. PapinEmail author
Article
  • 5 Downloads

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.

Keywords

Darcy law poroelasticity filtration global solvability uniqueness 

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Copyright information

© Pleiades Publishing, Ltd. 2019

Authors and Affiliations

  1. 1.Altai State UniversityBarnaulRussia

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