Viscosity driven instability of shear flows without boundaries

Hui Li; Weiren Zhao

doi:10.1016/j.matpur.2025.103724

Viscosity driven instability of shear flows without boundaries

Hui Li, Weiren Zhao

Mathematics

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

Abstract

In this paper, we study the instability effect of viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state under the influence of viscous dissipation. To the best of our knowledge, this is the first result of viscosity driven instability that is not caused by boundaries.

Original language	English (US)
Article number	103724
Journal	Journal des Mathematiques Pures et Appliquees
Volume	200
DOIs	https://doi.org/10.1016/j.matpur.2025.103724
State	Published - Aug 2025

Keywords

Instability
Navier-Stokes equation
Shear flow

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

Access to Document

10.1016/j.matpur.2025.103724

Cite this

@article{79f3c406f178465d9ef745b9c761e34d,

title = "Viscosity driven instability of shear flows without boundaries",

abstract = "In this paper, we study the instability effect of viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state under the influence of viscous dissipation. To the best of our knowledge, this is the first result of viscosity driven instability that is not caused by boundaries.",

keywords = "Instability, Navier-Stokes equation, Shear flow",

author = "Hui Li and Weiren Zhao",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier Masson SAS",

year = "2025",

month = aug,

doi = "10.1016/j.matpur.2025.103724",

language = "English (US)",

volume = "200",

journal = "Journal des Mathematiques Pures et Appliquees",

issn = "0021-7824",

publisher = "Elsevier Masson s.r.l.",

}

TY - JOUR

T1 - Viscosity driven instability of shear flows without boundaries

AU - Li, Hui

AU - Zhao, Weiren

PY - 2025/8

Y1 - 2025/8

N2 - In this paper, we study the instability effect of viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state under the influence of viscous dissipation. To the best of our knowledge, this is the first result of viscosity driven instability that is not caused by boundaries.

AB - In this paper, we study the instability effect of viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into a spectrally unstable state under the influence of viscous dissipation. To the best of our knowledge, this is the first result of viscosity driven instability that is not caused by boundaries.

KW - Instability

KW - Navier-Stokes equation

KW - Shear flow

UR - http://www.scopus.com/inward/record.url?scp=105003919654&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=105003919654&partnerID=8YFLogxK

U2 - 10.1016/j.matpur.2025.103724

DO - 10.1016/j.matpur.2025.103724

M3 - Article

AN - SCOPUS:105003919654

SN - 0021-7824

VL - 200

JO - Journal des Mathematiques Pures et Appliquees

JF - Journal des Mathematiques Pures et Appliquees

M1 - 103724

ER -

Viscosity driven instability of shear flows without boundaries

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this