Subcritical bifurcations of shear flows

Dongfen Bian; Shouyi Dai; Emmanuel Grenier

doi:10.1016/j.aml.2026.109965

Subcritical bifurcations of shear flows

Dongfen Bian
, Shouyi Dai
, Emmanuel Grenier^*

^*此作品的通讯作者

Beijing Institute of Technology
Chinese Academy of Sciences

科研成果: 期刊稿件 › 文章 › 同行评审

摘要

It is well-known that shear flows in a strip or in the half plane are unstable for the incompressible Navier–Stokes equations if the viscosity ν is small enough, provided the horizontal wave number α lies in a small interval, between the so called lower and upper marginal stability curves. Moreover, a Hopf bifurcation occurs at the upper marginal stability curve. In this article, for various shear flows, we give numerical evidences that this bifurcation is subcritical .

源语言	英语
文章编号	109965
期刊	Applied Mathematics Letters
卷	179
DOI	https://doi.org/10.1016/j.aml.2026.109965
出版状态	已出版 - 8月 2026
已对外发布	是

访问文件

10.1016/j.aml.2026.109965

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{823d2df7a31a41ea8fb59ceac508c3e0,

title = "Subcritical bifurcations of shear flows",

abstract = "It is well-known that shear flows in a strip or in the half plane are unstable for the incompressible Navier–Stokes equations if the viscosity ν is small enough, provided the horizontal wave number α lies in a small interval, between the so called lower and upper marginal stability curves. Moreover, a Hopf bifurcation occurs at the upper marginal stability curve. In this article, for various shear flows, we give numerical evidences that this bifurcation is subcritical .",

keywords = "Hopf bifurcation, Navier Stokes equation, Shear flows, Stability",

author = "Dongfen Bian and Shouyi Dai and Emmanuel Grenier",

note = "Publisher Copyright: {\textcopyright} 2026 Elsevier Ltd.",

year = "2026",

month = aug,

doi = "10.1016/j.aml.2026.109965",

language = "English",

volume = "179",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

publisher = "Elsevier Ltd.",

}

TY - JOUR

T1 - Subcritical bifurcations of shear flows

AU - Bian, Dongfen

AU - Dai, Shouyi

AU - Grenier, Emmanuel

PY - 2026/8

Y1 - 2026/8

N2 - It is well-known that shear flows in a strip or in the half plane are unstable for the incompressible Navier–Stokes equations if the viscosity ν is small enough, provided the horizontal wave number α lies in a small interval, between the so called lower and upper marginal stability curves. Moreover, a Hopf bifurcation occurs at the upper marginal stability curve. In this article, for various shear flows, we give numerical evidences that this bifurcation is subcritical .

AB - It is well-known that shear flows in a strip or in the half plane are unstable for the incompressible Navier–Stokes equations if the viscosity ν is small enough, provided the horizontal wave number α lies in a small interval, between the so called lower and upper marginal stability curves. Moreover, a Hopf bifurcation occurs at the upper marginal stability curve. In this article, for various shear flows, we give numerical evidences that this bifurcation is subcritical .

KW - Hopf bifurcation

KW - Navier Stokes equation

KW - Shear flows

KW - Stability

UR - https://www.scopus.com/pages/publications/105034993390

U2 - 10.1016/j.aml.2026.109965

DO - 10.1016/j.aml.2026.109965

M3 - Article

AN - SCOPUS:105034993390

SN - 0893-9659

VL - 179

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 109965

ER -

Subcritical bifurcations of shear flows

摘要

访问文件

其它文件与链接

学术指纹

引用此