Acta mathematica scientia,Series A ›› 2018, Vol. 38 ›› Issue (2): 322-333.

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Instability of Plane Couette-Poiseuille Flow of Compressible Navier-Stokes Equation

Wang Junli1, Zhang Xingwei2, Liu Jian2   

  1. 1. Department of Mathematics, College of Science, Capital Normal University, Beijing 100048;
    2. College of Teacher Education, Quzhou University, Zhejiang Quzhou 324000
  • Received:2017-03-08 Revised:2017-07-23 Online:2018-04-26 Published:2018-04-26
  • Supported by:
    Supported by the NSFC (11501323, 11701323), the Visiting Scholar Foundation (FX2016081) and the Doctoral Starting UP Foundation of Quzhou University (BSYJ201314) and (BSYJ201708)

Abstract: In this paper, we consider the instability of Plane Couette-Poiseuille flow of compressible Navier-Stokes equation. By the perturbation theory of linear operator, when the board speed is small, Mach number and Reynold number satisfy some condition, it turns out that plane Couette-Poiseuille flow of compressible Navier-Stokes equation is unstable.

Key words: Instability, Compressible Navier-Stokes Equation, Plane Couette-Poiseuille Flow

CLC Number: 

  • O175.2
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