Geodesic
Global solvability of a system of equations of one-dimensional motion of a viscous fluid in a deformable viscous porous medium
Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 2, pp. 81-93

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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, global solvability, uniqueness.
Mots-clés : filtration 
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     author = {M. A. Tokareva and A. A. Papin},
     title = {Global solvability of a system of equations of one-dimensional motion of a viscous fluid in a deformable viscous porous medium},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
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     url = {http://geodesic.mathdoc.fr/item/SJIM_2019_22_2_a7/}
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M. A. Tokareva; A. A. Papin. Global solvability of a system of equations of one-dimensional motion of a viscous fluid in a deformable viscous porous medium. Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 2, pp. 81-93. http://geodesic.mathdoc.fr/item/SJIM_2019_22_2_a7/