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arXiv · 2410.23798

Viscosity driven instability of shear flows without boundaries

Hui Li·Weiren Zhao
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Abstract

In this paper, we study the instability effect of viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state under the influence of viscous dissipation. To the best of our knowledge, this is the first result of viscosity driven instability that is not caused by boundaries.

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Hui Li, Weiren Zhao. 2024-10-31. Viscosity driven instability of shear flows without boundaries. https://arxiv.org/abs/2410.23798

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