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

DOI10.1134/S1990478919020169zbMath1438.76044OpenAlexW2951076173MaRDI QIDQ4973171

Margarita Andreevna Tokareva, Alexandr Alexeevich Papin

Publication date: 2 December 2019

Published in: Journal of Applied and Industrial Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1990478919020169

zbMATH Keywords

filtrationuniquenessDarcy lawglobal solvabilityporoelasticity

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05)

Related Items (3)

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 ⋮ Filtration of Liquid in a Non-isothermal Viscous Porous Medium ⋮ Mathematical Model of Fluids Motion in Poroelastic Snow-ice Cover

Cites Work

• Mathematical geoscience
• Solvability of the system of equations of one-dimensional motion of a heat-conducting two-phase mixture
• Numerical study of compositional compressible degenerate two-phase flow in saturated-unsaturated heterogeneous porous media
• Degenerate dispersive equations arising in the study of magma dynamics
• Localization of Solutions of the Equations of Filtration in Poroelastic Medium
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