Coinciding local bifurcations in the Navier-Stokes equations

Nan Deng; Luc R. Pastur; Laurette S. Tuckerman; Bernd R. Noack

doi:10.1209/0295-5075/ac182a

Coinciding local bifurcations in the Navier-Stokes equations

Nan Deng^*
, Luc R. Pastur
, Laurette S. Tuckerman
, Bernd R. Noack

^*Corresponding author for this work

ENSTA
Université PSL
Harbin Institute of Technology Shenzhen

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

3 Scopus citations

Abstract

Generically, a local bifurcation only affects a single solution branch. However, branches that are quite different may nonetheless share certain eigenvectors and eigenvalues, leading to coincident bifurcations. For the fluidic pinball, two supercritical pitchfork bifurcations, of the equilibrium and the periodic solutions, occur at nearly the same Reynolds number. The mechanism of this kind of non-generic coincidence is modelled and explained.

Original language	English
Article number	24002
Journal	Europhysics Letters
Volume	135
Issue number	2
DOIs	https://doi.org/10.1209/0295-5075/ac182a
State	Published - Jul 2021
Externally published	Yes

Access to Document

10.1209/0295-5075/ac182a

Cite this

@article{75d4f8f37f54417ea8eb2e2206cfbeff,

title = "Coinciding local bifurcations in the Navier-Stokes equations",

abstract = "Generically, a local bifurcation only affects a single solution branch. However, branches that are quite different may nonetheless share certain eigenvectors and eigenvalues, leading to coincident bifurcations. For the fluidic pinball, two supercritical pitchfork bifurcations, of the equilibrium and the periodic solutions, occur at nearly the same Reynolds number. The mechanism of this kind of non-generic coincidence is modelled and explained.",

author = "Nan Deng and Pastur, \{Luc R.\} and Tuckerman, \{Laurette S.\} and Noack, \{Bernd R.\}",

year = "2021",

month = jul,

doi = "10.1209/0295-5075/ac182a",

language = "英语",

volume = "135",

journal = "Europhysics Letters",

issn = "0295-5075",

publisher = "IOP Publishing Ltd.",

number = "2",

}

TY - JOUR

T1 - Coinciding local bifurcations in the Navier-Stokes equations

AU - Deng, Nan

AU - Pastur, Luc R.

AU - Tuckerman, Laurette S.

AU - Noack, Bernd R.

PY - 2021/7

Y1 - 2021/7

N2 - Generically, a local bifurcation only affects a single solution branch. However, branches that are quite different may nonetheless share certain eigenvectors and eigenvalues, leading to coincident bifurcations. For the fluidic pinball, two supercritical pitchfork bifurcations, of the equilibrium and the periodic solutions, occur at nearly the same Reynolds number. The mechanism of this kind of non-generic coincidence is modelled and explained.

AB - Generically, a local bifurcation only affects a single solution branch. However, branches that are quite different may nonetheless share certain eigenvectors and eigenvalues, leading to coincident bifurcations. For the fluidic pinball, two supercritical pitchfork bifurcations, of the equilibrium and the periodic solutions, occur at nearly the same Reynolds number. The mechanism of this kind of non-generic coincidence is modelled and explained.

UR - https://www.scopus.com/pages/publications/85116930900

U2 - 10.1209/0295-5075/ac182a

DO - 10.1209/0295-5075/ac182a

M3 - 文章

AN - SCOPUS:85116930900

SN - 0295-5075

VL - 135

JO - Europhysics Letters

JF - Europhysics Letters

IS - 2

M1 - 24002

ER -

Coinciding local bifurcations in the Navier-Stokes equations

Abstract

Access to Document

Other files and links

Fingerprint

Cite this