Unidirectional infiltration in deformable porous media: mathematical modeling and self-similar solution

DOI10.1090/qam/1738559zbMath1032.76069OpenAlexW2245097301MaRDI QIDQ4497990

Angiolo Farina, Luca Billi

Publication date: 24 August 2000

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

Full work available at URL: https://doi.org/10.1090/qam/1738559

zbMATH Keywords

existence of solutionLagrangian coordimatesnonlinear one-phase Stefan problem

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Stefan problems, phase changes, etc. (80A22) Flows in porous media; filtration; seepage (76S05) Dimensional analysis and similarity applied to problems in fluid mechanics (76M55)

Related Items

Capillary rise of a liquid into a deformable porous material, Nonlinear processes of injection of liquids through porous materials, Imbibition of a liquid droplet on a deformable porous substrate, Infiltration through Deformable Porous Media