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

PSL Research University
Harbin Institute of Technology Shenzhen

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

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.

langue originale	Anglais
Numéro d'article	24002
journal	EPL
Volume	135
Numéro de publication	2
Les DOIs	https://doi.org/10.1209/0295-5075/ac182a
état	Publié - 1 juil. 2021
Modification externe	Oui

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10.1209/0295-5075/ac182a

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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",

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AU - Deng, Nan

AU - Pastur, Luc R.

AU - Tuckerman, Laurette S.

AU - Noack, Bernd R.

PY - 2021/7/1

Y1 - 2021/7/1

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.

U2 - 10.1209/0295-5075/ac182a

DO - 10.1209/0295-5075/ac182a

M3 - Article

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SN - 0295-5075

VL - 135

JO - EPL

JF - EPL

IS - 2

M1 - 24002

ER -

Coinciding local bifurcations in the Navier-Stokes equations

Résumé

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