Averaging of the system of equations of motion of a viscous fluid in a porous medium

DOI10.1016/0021-8928(95)00037-PzbMath0923.76321OpenAlexW1987305689MaRDI QIDQ1369997

Gregory P. Panasenko

Publication date: 3 November 1997

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

Full work available at URL: https://doi.org/10.1016/0021-8928(95)00037-p

zbMATH Keywords

asymptotic solutionsmall parameterBoussinesq equationviscous fluidsmall viscosityperiodic porous medium

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Cites Work

• Homogenization in open sets with holes
• Homogenization of the Navier-Stokes equations in open sets perforated with tiny holes. II: Non-critical sizes of the holes for a volume distribution and a surface distribution of holes
• THE METHOD OF ORTHOGONAL PROJECTIONS AND THE DIRICHLET PROBLEM IN DOMAINS WITH A FINE-GRAINED BOUNDARY
• A calculation of the viscous force exerted by a flowing fluid on a dense swarm of particles
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