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arXiv · 2106.04173

On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations

Qi Chen·Di Wu·Zhifei Zhang
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Abstract

In this paper, we prove the stability of shear flows of Prandtl type as $ \big(U(y/\sqrt{\nu}),0\big)$ for the steady Navier-Stokes equations under a natural spectral assumption on the linearized NS operator. We develop a direct energy method combined with compact method to solve the Orr-Sommerfeld equation.

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Qi Chen, Di Wu, Zhifei Zhang. 2021-06-08. On the stability of shear flows of Prandtl type for the steady Navier-Stokes equations. https://arxiv.org/abs/2106.04173

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