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| Asymptotic Behavior of the Incompressible Navier-Stokes Fluid with Degree of Freedom in Porous Medium |
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Citation： |
Hongxing ZHAO,Zhengan YAO.Asymptotic Behavior of the Incompressible Navier-Stokes Fluid with Degree of Freedom in Porous Medium[J].Chinese Annals of Mathematics B,2016,37(6):853~864 |
| Page view： 1396
Net amount： 1066 |
Authors： |
Hongxing ZHAO; Zhengan YAO |
Foundation： |
This work was supported by the Research of High Schools
of Guangzhou (No.1201420925) and Guangdong Natural Science
Foundation (No.2014A030313526). |
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| Abstract： |
The authors study the asymptotic behavior of the incompressible
Navier-Stokes fluid with degree of freedom in the porous medium in
$\mathbb{R}^n$ with $n=2$ or 3. They derive the Darcy law as
$\varepsilon$, the character size of the hole, tends to zero.
Moreover, the authors obtain the expression of the degree of freedom
from the homogenized model. |
Keywords： |
Homogenization, Navier-Stokes fluid, Darcy law, Degree of freedom |
Classification： |
76D05, 76M50, 74Q10 |
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