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Linear instability analysis on compressible Navier-Stokes equations with strong boundary layer by Yang, Tong; Zhang, Zhu is a scholarly article available to read on EtoBox.

What is Linear instability analysis on compressible Navier-Stokes equations with strong boundary layer about?

It is a classical problem in fluid dynamics about the stability and instability of different hydrodynamic patterns in various physical settings, in particular in the high Reynolds number limit of laminar flow with boundary layer. However, there are very few mathematical results on the compressible fluid despite the extensive studies when the fluid is governed by the incompressible Navier-Stokes equations. This paper aims to introduce a new approach to study the compressible Navier-Stokes equations in the subsonic and high Reynolds number regime where a subtle quasi-compressible and Stokes iteration is developed. As a byproduct, we show the spectral instability of subsonic boundary layer.

Author

Yang, Tong; Zhang, Zhu

Published

2022

Language

EN