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Homogenization of the Stokes equation with mixed boundary condition in a porous medium
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.ORCID iD: 0000-0001-8211-3671
2017 (English)In: Cogent Mathamatics, E-ISSN 2331-1835, Vol. 4, no 1, 1327502Article in journal (Refereed) Published
Abstract [en]

We homogenize stationary incompressible Stokes flow in a periodic porous medium. The fluid is assumed to satisfy a no-slip condition on the boundary of solid inclusions and a normal stress (traction) condition on the global boundary. Under these assumptions, the homogenized equation becomes the classical Darcy law with a Dirichlet condition for the pressure.

Place, publisher, year, edition, pages
Taylor & Francis, 2017. Vol. 4, no 1, 1327502
National Category
Mathematical Analysis
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:ltu:diva-64001DOI: 10.1080/23311835.2017.1327502ISI: 000403291100001OAI: oai:DiVA.org:ltu-64001DiVA: diva2:1109566
Note

Validerad;2017;Nivå 2;2017-07-06 (rokbeg)

Available from: 2017-06-14 Created: 2017-06-14 Last updated: 2017-11-24Bibliographically approved

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Fabricius, JohnMiroshnikova, ElenaWall, Peter

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