Stability of Boundary Layer to An Outflow Problem for A Compressible Non-Newtonian Fluid in the Half Space
This paper investigates the large-time behavior of solutions to an outflow problem for a compressible non-Newtonian fluid in a half space. The main concern is to analyze the phenomena that happens when the compressible non-Newtonian fluid blows out through the boundary. Based on the existence of the stationary solution, it is proved that there exists a boundary layer (i.e., the stationary solution) to the outflow problem and the boundary layer is nonlinearly stable under small initial perturbation.
Key wordscompressible non-Newtonian fluid stability boundary layer
2010 MR Subject Classification35B40 35Q30 76N10
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