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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.09219 |
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Table of Contents:
- We study the stability of spectrally stable, strictly monotone, smooth shear flows in the 2D Navier-Stokes equations on $\mathbb{T} \times \mathbb{R}$ with small viscosity $ν$. We establish nonlinear stability in $H^s$ for $s \geq 2$ with a threshold of size $εν^{1/3}$ for time smaller than $c_*ν^{-1}$ with $ε, c_* \ll 1$. Additionally, we demonstrate nonlinear inviscid damping and enhanced dissipation.