论文标题
可压缩的Navier-Stokes系统的尺寸降低，其密度依赖性粘度
Dimension reduction for the compressible Navier-Stokes system with density dependent viscosity
论文作者
论文摘要
我们考虑使用三维时空域$（0，t）\ timesω__\ varepsilon $中的双密度粘度的压缩液压系统可压缩的Navier-Stokes系统，其中$ω__\ VAREPSILON =（0，\ VAREPSILON）我们表明，3D系统的弱解决方案将相应1D系统的强解决方案收敛为$ \ varepsilon \ rightarrow0。
We consider a compressible Navier-Stokes system for a barotropic fluid with density dependent viscosity in a three-dimensional time-space domain $(0,T)\times Ω_\varepsilon$ where $Ω_\varepsilon = (0,\varepsilon)^2\times (0,1)$. We show that the weak solutions of the 3D system converges to the strong solution of the respective 1D system as $\varepsilon\rightarrow0.$
