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Stability of Boundary Layer to An Outflow Problem for A Compressible Non-Newtonian Fluid in the Half Space

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Abstract

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.

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Authors and Affiliations

  1. Center for Nonlinear Studies, Department of Mathematical, Northwest University, Xi’an, 710127, China

    Jie Pan  (潘洁), Li Fang  (方莉) & Zhenhua Guo  (郭真华)

Authors
  1. Jie Pan  (潘洁)
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  2. Li Fang  (方莉)
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  3. Zhenhua Guo  (郭真华)
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Corresponding author

Correspondence to Zhenhua Guo  (郭真华).

Additional information

The second author was supported by the National Natural Science Foundation of China (11501445), and the third author was supported by the National Natural Science Foundation of China (11671319, 11331005).

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Pan, J., Fang, L. & Guo, Z. Stability of Boundary Layer to An Outflow Problem for A Compressible Non-Newtonian Fluid in the Half Space. Acta Math Sci 39, 259–283 (2019). https://doi.org/10.1007/s10473-019-0120-y

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  • DOI: https://doi.org/10.1007/s10473-019-0120-y

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