Salvato in:
| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2511.21583 |
| Tags: |
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Sommario:
- We give an elementary proof of long time inviscid damping for Sobolev perturbations near the Couette flow $(y,0)$ for the 2D Euler equations on $\mathbb{T} \times \mathbb{R}$. For any $s>1$ and any initial vorticity perturbation of size $O(ε)$ in $H^s$, we obtain velocity damping estimates up to a time scale $ t = O(ε^{-δ_s} )$, where $δ_s=1/3$ when $s\to 1+$ and $δ_s=1/2$ for $s>2$.