Homogenization of Stationary Navier-Stokes Equations in Domains with Tiny Holes

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F15%3A10319167" target="_blank" >RIV/00216208:11320/15:10319167 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/s00021-015-0200-2" target="_blank" >http://dx.doi.org/10.1007/s00021-015-0200-2</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00021-015-0200-2" target="_blank" >10.1007/s00021-015-0200-2</a>

Result language
angličtina
Original language name
Homogenization of Stationary Navier-Stokes Equations in Domains with Tiny Holes
Original language description
We consider the homogenization problem for the stationary compressible Navier-Stokes equations describing a steady flow of a compressible Newtonian fluid in a bounded three dimensional domain. We focus on the case where the domain is perforated with verytiny holes for which the diameters are much smaller than their mutual distances. We show that the homogenization process does not change the motion of the fluids: in the asymptotic limit, we obtain again the same system of equations. This coincides withsimilar results for the stationary Stokes and stationary incompressible Navier-Stokes system.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/LL1202" target="_blank" >LL1202: Implicitly constituted material models: from theory through model reduction to efficient numerical methods</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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