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arXiv · 2301.00288

On the stability of shear flows in bounded channels, II: non-monotonic shear flows

Alexandru D. Ionescu·Sameer Iyer·Hao Jia
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Abstract

We give a proof of linear inviscid damping and vorticity depletion for non-monotonic shear flows with one critical point in a bounded periodic channel. In particular, we obtain quantitative depletion rates for the vorticity function without any symmetry assumptions.

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Alexandru D. Ionescu, Sameer Iyer, Hao Jia. 2022-12-31. On the stability of shear flows in bounded channels, II: non-monotonic shear flows. https://arxiv.org/abs/2301.00288

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