多孔介质中可压缩Navier-Stokes流的渐近行为

摘要

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.%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.