Abstract
We prove linear inviscid damping near a general class of monotone shear flows in a finite channel, in Gevrey spaces. This is an essential step towards proving nonlinear inviscid damping for general shear flows that are not close to the Couette flow, which is a major open problem in 2d Euler equations.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1327-1355 |
| Number of pages | 29 |
| Journal | Archive For Rational Mechanics And Analysis |
| Volume | 235 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 1 2020 |
Bibliographical note
Publisher Copyright:© 2019, Springer-Verlag GmbH Germany, part of Springer Nature.