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| 摘要: |
| 本文研究了多孔介质中完全非线性Navier-Stokes流的渐近行为.利用标准的能量以及双尺度收敛，对于二维或三维的情形下，证明了流体的密度与温度的强收敛性，进一步论证了当特征尺度ε→0时，流体的均匀化结果.从另一个层面解释了文献中的结果. |
| 关键词: 渐近分析 均匀化 Navier-Stokes流 Gibbs方程 |
| DOI： |
| 分类号:O13;O29 |
| 基金项目: |
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| ASYMPTOTIC BEHAVIOR OF COMPRESSIBLE NAVIER-STOKES FLUID IN POROUS MEDIUM |
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YUAN Guo-zhi,ZHAO Hong-xing
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| Abstract: |
| We study the behavior of the solution to the full compressible Navier-Stokes fluid in porous medium. By using standard energy and two-scale convergence, we prove the strong convergence of the density and the temperature with characteristic size of the pores ε in Rn for n = 2 or 3 and obtain the homogenized for this model, when ε→0, which gives another explanation to the results in references. |
| Key words: asymptotic analysis homogenization Navier-Stokes flow Gibbs’ equation |
