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American Physical Society, Physical Review Letters, 22(110), 2013

DOI: 10.1103/physrevlett.110.224502

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Streamwise-localized solutions at the onset of turbulence in pipe flow

Journal article published in 2012 by Marc Avila, Marc Àvila Cañellas, Fernando Mellibovsky ORCID, Nicolas Roland, Bjoern Hof
This paper is available in a repository.
This paper is available in a repository.

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Abstract

Although the equations governing fluid flow are well known, there are no analytical expressions that describe the complexity of turbulent motion. A recent proposition is that in analogy to low dimensional chaotic systems, turbulence is organized around unstable solutions of the governing equations which provide the building blocks of the disordered dynamics. We report the discovery of periodic solutions which just like intermittent turbulence are spatially localized and show that turbulent transients arise from one such solution branch. 2013 American Physical Society. ; Postprint (published version)