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摘要: |
我们考虑2维,3维的多孔介质中完全非线性的可压缩Navier-Stokes 流的解的渐近行为,其中孔径的特征尺度为$\varepsilon$。当$\varepsilon$趋于0时,我们证明了流体密度与温度的强收敛,通过取极限,我们得到这个流体模型的均匀化行为。 |
关键词: 渐近分析,均匀化,Navier-Stokes流,Gibbs方程 |
DOI: |
分类号:76D05; 76M50; 74Q10(MSC) |
基金项目:广州市教育局项目(No.1201420925),广东省自然科学基金(No.2014A030313526) |
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Asymptotic behavior of compressible Navier-Stokes fluid in porous medium |
Yuanguozhi
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Abstract: |
We consider the behavior of the solution to
the full compressible Navier-Stokes fluid in porous medium, with characteristic size of
the pores $\varepsilon$ in $R^n$ for $n=2$ or $3$. To pass the limit when $\varepsilon\rightarrow 0$, we
prove the strong convergence of the density and the temperature. At the limit,
we obtain the homogenized behavior for this model. |
Key words: Asymptotic analysis, homogenization,~Navier-Stokes flow, Gibbs' equation |