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

Alexandru D. Ionescu; Sameer Iyer; Hao Jia

doi:10.1007/s10013-023-00661-z

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

Alexandru D. Ionescu, Sameer Iyer, Hao Jia

Mathematics

Research output: Contribution to journal › Article › peer-review

5 Scopus citations

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)
Pages (from-to)	851-882
Number of pages	32
Journal	Vietnam Journal of Mathematics
Volume	52
Issue number	4
DOIs	https://doi.org/10.1007/s10013-023-00661-z
State	Published - Oct 2024

All Science Journal Classification (ASJC) codes

General Mathematics

Keywords

35B40
35P25
35Q31
Inviscid damping
Non-monotonic shear flows
Vorticity depletion

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10.1007/s10013-023-00661-z

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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.",

keywords = "35B40, 35P25, 35Q31, Inviscid damping, Non-monotonic shear flows, Vorticity depletion",

author = "Ionescu, \{Alexandru D.\} and Sameer Iyer and Hao Jia",

note = "Publisher Copyright: {\textcopyright} Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2023.",

year = "2024",

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T1 - On the Stability of Shear Flows in Bounded Channels, II

T2 - Non-monotonic Shear Flows

AU - Ionescu, Alexandru D.

AU - Iyer, Sameer

AU - Jia, Hao

N1 - Publisher Copyright: © Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2023.

PY - 2024/10

Y1 - 2024/10

N2 - 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.

AB - 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.

KW - 35B40

KW - 35P25

KW - 35Q31

KW - Inviscid damping

KW - Non-monotonic shear flows

KW - Vorticity depletion

UR - https://www.scopus.com/pages/publications/85178188109

UR - https://www.scopus.com/inward/citedby.url?scp=85178188109&partnerID=8YFLogxK

U2 - 10.1007/s10013-023-00661-z

DO - 10.1007/s10013-023-00661-z

M3 - Article

AN - SCOPUS:85178188109

SN - 2305-221X

VL - 52

SP - 851

EP - 882

JO - Vietnam Journal of Mathematics

JF - Vietnam Journal of Mathematics

IS - 4

ER -

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

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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