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arXiv · 2409.11584

Stability and eigenvalue bounds for micropolar shear flows

Pablo Braz e Silva·Jackellyny Carvalho
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Abstract

We prove eigenvalue bounds for two-dimensional linearized disturbances of parallel flows of micropolar fluids, deriving the Orr-Sommerfeld equations and providing a sufficient condition for linear stability of such flows. We also derive wave speed bounds.

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Pablo Braz e Silva, Jackellyny Carvalho. 2024-09-17. Stability and eigenvalue bounds for micropolar shear flows. https://arxiv.org/abs/2409.11584

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