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On using extreme values to detect global stability thresholds in multi-stable systems: The case of transitional plane Couette flow

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  • Faranda, Davide
  • Lucarini, Valerio
  • Manneville, Paul
  • Wouters, Jeroen

Abstract

Extreme Value Theory (EVT) is exploited to determine the global stability threshold Rg of plane Couette flow – the flow of a viscous fluid in the space between two parallel plates – whose laminar or turbulent behavior depends on the Reynolds number R. Even if the existence of a global stability threshold has been detected in simulations and experiments, its numerical value has not been unequivocally defined. Rg is the value such that for R>Rg, turbulence is sustained, whereas for R

Suggested Citation

  • Faranda, Davide & Lucarini, Valerio & Manneville, Paul & Wouters, Jeroen, 2014. "On using extreme values to detect global stability thresholds in multi-stable systems: The case of transitional plane Couette flow," Chaos, Solitons & Fractals, Elsevier, vol. 64(C), pages 26-35.
    • Handle: RePEc:eee:chsofr:v:64:y:2014:i:c:p:26-35
    DOI: 10.1016/j.chaos.2014.01.008
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    References listed on IDEAS

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    1. J. Rolland & P. Manneville, 2011. "Ginzburg–Landau description of laminar-turbulent oblique band formation in transitional plane Couette flow," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 80(4), pages 529-544, April.
    2. Marten Scheffer & Jordi Bascompte & William A. Brock & Victor Brovkin & Stephen R. Carpenter & Vasilis Dakos & Hermann Held & Egbert H. van Nes & Max Rietkerk & George Sugihara, 2009. "Early-warning signals for critical transitions," Nature, Nature, vol. 461(7260), pages 53-59, September.
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