Stability and eigenvalue bounds for micropolar shear flows
Analysis of PDEs
2024-09-19 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.2409.11584,
title = {Stability and eigenvalue bounds for micropolar shear flows},
author = {Pablo Braz e Silva and Jackellyny Carvalho},
journal= {arXiv preprint arXiv:2409.11584},
year = {2024}
}