Geodesic
One-dimensional flow of a fluid through a plane porous layer under finite strains
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 62-65

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The problem of one-dimensional transversal time-independent flow of compressible fluid through the plane deformable porous layer with finite thickness made of an incompressible material in the case of finite strains with influence of Darcy's interaction and frontal head pressure forces is formulated and numerically solved. 
@article{VMUMM_2015_2_a13,
     author = {I. O. Faskheev},
     title = {One-dimensional flow of a fluid through a plane porous layer under finite strains},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {62--65},
     publisher = {mathdoc},
     number = {2},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2015_2_a13/}
}
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I. O. Faskheev. One-dimensional flow of a fluid through a plane porous layer under finite strains. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 2 (2015), pp. 62-65. http://geodesic.mathdoc.fr/item/VMUMM_2015_2_a13/