Homogenization of the compressible Navier–Stokes equations in a porous medium

Homogenization of the compressible Navier–Stokes equations in a porous medium
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DOI:
10.1051/cocv:2002053
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发表时间:
2002-06
期刊:
ESAIM: Control, Optimisation and Calculus of Variations
影响因子:
--
通讯作者:
N. Masmoudi
N. Masmoudi
中科院分区:
其他
文献类型:
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作者:
N. Masmoudi

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研究了周期多孔介质中可压缩Navier-Stokes方程组在Dirichlet边界条件下的均匀化问题。在极限情况下,我们根据所采取的扩展来恢复不同的系统。特别是,我们严格推导出所谓的“多孔介质方程”。
We study the homogenization of the compressible Navier–Stokes system in a periodic porous medium (of period e ) with Dirichlet boundary conditions. At the limit, we recover different systems depending on the scaling we take. In particular, we rigorously derive the so-called “porous medium equation”.