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Pressure-driven flo...
Pressure-driven flow in thin domains
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- Fabricius, John (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Miroshnikova, Elena (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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- Tsandzana, Afonso (author)
- Department of Mathematics and Informatics, Eduardo Mondlane University, Maputo, Mozambique
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- Wall, Peter (author)
- Luleå tekniska universitet,Matematiska vetenskaper
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(creator_code:org_t)
- IOS Press, 2020
- 2020
- English.
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In: Asymptotic Analysis. - : IOS Press. - 0921-7134 .- 1875-8576. ; 116:1, s. 1-26
- Related links:
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https://urn.kb.se/re...
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https://doi.org/10.3...
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Abstract
Subject headings
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- We study the asymptotic behavior of pressure-driven Stokes flow in a thin domain. By letting the thickness of the domain tend to zero we derive a generalized form of the classical Reynolds–Poiseuille law, i.e. the limit velocity field is a linear function of the pressure gradient. By prescribing the external pressure as a normal stress condition, we recover a Dirichlet condition for the limit pressure. In contrast, a Dirichlet condition for the velocity yields a Neumann condition for the limit pressure.
Subject headings
- NATURVETENSKAP -- Matematik -- Matematisk analys (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Mathematical Analysis (hsv//eng)
Keyword
- Stokes equation
- pressure boundary condition
- two-scale convergence
- thin domain
- Bogovskii operator
- Korn inequality
- Matematik
- Mathematics
Publication and Content Type
- ref (subject category)
- art (subject category)
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