Effective models of the Navier-Stokes flow in porous media with a thin fissure

DOI10.1016/j.jmaa.2011.09.005zbMath1323.76114OpenAlexW2005344341MaRDI QIDQ655456

Zheng-An Yao, Hongxing Zhao

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.005

zbMATH Keywords

convergencehomogenizationa priori estimate

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Flows in porous media; filtration; seepage (76S05) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Homogenization applied to problems in fluid mechanics (76M50)

Related Items (4)

Derivation of a coupled Darcy-Reynolds equation for a fluid flow in a thin porous medium including a fissure ⋮ Upscaling the interplay between diffusion and polynomial drifts through a composite thin strip with periodic microstructure ⋮ Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure ⋮ Homogenization of a non-stationary non-Newtonian flow in a porous medium containing a thin fissure

Cites Work

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• Effective Transmission Conditions for Reaction-Diffusion Processes in Domains Separated by an Interface
• Asymptotic analysis of a double porosity model with thin fissures
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