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Genesis of streamwise-localized solutions from globally periodic traveling waves in pipe flow

Abstract:

The aim in the dynamical systems approach to transitional turbulence is to construct a scaffold in phase space for the dynamics using simple invariant sets (exact solutions) and their stable and unstable manifolds. In large (realistic) domains where turbulence can coexist with laminar flow, this requires identifying exact localized solutions. In wall-bounded shear flows, the first of these has recently been found in pipe flow, but questions remain as to how they are connected to the many know...

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Publication status:
Published
Peer review status:
Peer reviewed
Version:
Publisher's Version

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Publisher copy:
10.1103/PhysRevLett.112.164501

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Physics
Subgroup:
Atmos Ocean and Planet Physics
Willis, AP More by this author
Kerswell, RR More by this author
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review Letters Journal website
Volume:
112
Issue:
16
Publication date:
2014-04-01
DOI:
EISSN:
1079-7114
ISSN:
0031-9007
Pubs id:
pubs:675275
URN:
uri:3aa2d31d-e952-474b-95ad-150affc43c9a
UUID:
uuid:3aa2d31d-e952-474b-95ad-150affc43c9a
Local pid:
pubs:675275
Keywords:

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