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.
Original language | English (US) |
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Pages (from-to) | 851-882 |
Number of pages | 32 |
Journal | Vietnam Journal of Mathematics |
Volume | 52 |
Issue number | 4 |
DOIs | |
State | Published - Oct 2024 |
Bibliographical note
Publisher Copyright:© Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2023.
Keywords
- 35B40
- 35P25
- 35Q31
- Inviscid damping
- Non-monotonic shear flows
- Vorticity depletion