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On the effective equations of a viscous incompressible fluid flow through a filter of finite thickness

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We consider an incompressible and nonstationary fluid flow, governed by a given pressure drop, in a domain that contains a filter of finite thickness. The filter consists of a big number of tiny, axially symmetric tubes with nonconstant sections. We prove the global existence for the ε‐problem and f...

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Bibliographic Details
Main Authors: Jäger, Willi (Author) , Mikelić, Andro (Author)
Format: Article (Journal)
Language:English
Published: 06 December 1998
In: Communications on pure and applied mathematics
Year: 1998, Volume: 51, Issue: 9-10, Pages: 1073-1121
ISSN:1097-0312
DOI:10.1002/(SICI)1097-0312(199809/10)51:9/10<1073::AID-CPA6>3.0.CO;2-A
Online Access:Resolving-System, Volltext: http://dx.doi.org/10.1002/%28SICI%291097-0312%28199809/10%2951%3A9/10%3C1073%3A%3AAID-CPA6%3E3.0.CO%3B2-A
Verlag, Volltext: https://onlinelibrary.wiley.com/doi/abs/10.1002/%28SICI%291097-0312%28199809/10%2951%3A9/10%3C1073%3A%3AAID-CPA6%3E3.0.CO%3B2-A
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Author Notes:Willi Jäger and Andro Mikelić
Description
Summary:We consider an incompressible and nonstationary fluid flow, governed by a given pressure drop, in a domain that contains a filter of finite thickness. The filter consists of a big number of tiny, axially symmetric tubes with nonconstant sections. We prove the global existence for the ε‐problem and find out the effective behavior of the velocity and the pressure fields.
Item Description:Gesehen am 30.08.2018
Physical Description:Online Resource
ISSN:1097-0312
DOI:10.1002/(SICI)1097-0312(199809/10)51:9/10<1073::AID-CPA6>3.0.CO;2-A

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