On the Stability of Shear Flows in Bounded Channels, II: Non-monotonic Shear Flows

Alexandru D. Ionescu, Sameer Iyer, Hao Jia

Research output: Contribution to journalArticlepeer-review

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 languageEnglish (US)
Pages (from-to)851-882
Number of pages32
JournalVietnam Journal of Mathematics
Volume52
Issue number4
DOIs
StatePublished - 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

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