Geodesic
On the existence of global solution of the system of equations of one-dimensional motion of a viscous liquid in a deformable viscous porous medium
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1397-1422

Voir la notice de l'article provenant de la source Math-Net.Ru

The initial-boundary value problem for the system of one-dimensional motion of a viscous liquid in a deformable viscous porous medium is considered. Local theorem of existence and uniqueness of the problem is proved in the case of compressible liquid. In the case of incompressible liquid the theorem of global solvability in time is proved in Holder classes.
Keywords: Darcy's law, poroelasticity, global solvability, porosity.
Mots-clés : filtration 
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     author = {M. A. Tokareva and A. A. Papin},
     title = {On the existence of global solution of the system of equations of one-dimensional motion of a viscous liquid in a deformable viscous porous medium},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1397--1422},
     publisher = {mathdoc},
     volume = {18},
     number = {2},
     year = {2021},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a51/}
}
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M. A. Tokareva; A. A. Papin. On the existence of global solution of the system of equations of one-dimensional motion of a viscous liquid in a deformable viscous porous medium. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 18 (2021) no. 2, pp. 1397-1422. http://geodesic.mathdoc.fr/item/SEMR_2021_18_2_a51/