Abstract
The problem of the transition to turbulence in subcritical systems is illustrated by experiments and modeling attempts relative to the plane Couette flow. Based on results obtained by the Saclay group (§2), the observed phenomenology points out the role played by coherent structures in the form of streamwise vortices and streaks as nontrivial solutions at finite distance from the basic state. Beyond the formal account in §1, theoretical issues are concretely approached through temporal Lorenz-like and spatio-temporal Swift-Hohenberg-like modeling (§3).
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Manneville, P., Dauchot, O. (2001). Patterning and Transition to Turbulence in Subcritical Systems: The Case of Plane Couette Flow. In: Reguera, D., Rubí, J.M., Bonilla, L.L. (eds) Coherent Structures in Complex Systems. Lecture Notes in Physics, vol 567. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44698-2_4
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