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

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)
Journal	Vietnam Journal of Mathematics
DOIs	https://doi.org/10.1007/s10013-023-00661-z
State	Accepted/In press - 2023

Bibliographical note

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

Keywords

Inviscid damping
Non-monotonic shear flows
Vorticity depletion

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Access

10.1007/s10013-023-00661-z

Cite this

@article{5e2aa806fc3c47a18fd0a4b7f47a1c75,

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

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 = "Inviscid damping, Non-monotonic shear flows, Vorticity depletion",

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

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

year = "2023",

doi = "10.1007/s10013-023-00661-z",

language = "English (US)",

journal = "Vietnam Journal of Mathematics",

issn = "2305-221X",

publisher = "Springer Science + Business Media",

}

TY - JOUR

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

PY - 2023

Y1 - 2023

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 - Inviscid damping

KW - Non-monotonic shear flows

KW - Vorticity depletion

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

UR - http://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

JO - Vietnam Journal of Mathematics

JF - Vietnam Journal of Mathematics

ER -

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

Abstract

Bibliographical note

Keywords

UN SDGs

Access

Other files and links

Fingerprint

Cite this