Dynamics Near the Subcritical Transition of the 3D Couette Flow II : Above Threshold Case
by Jacob Bedrossian, Pierre Germain
English | 2022 | ISBN: 1470472252 | 148 Pages | True PDF | 1.46 MB
Bedrossian, Germain, and Manmoudi complete their two-volume study of small disturbances to the plane, periodic three-dimensional Couette flow in the incompressible Navier-Stokes equations at high Reynolds number. Their findings strongly suggest, for all (sufficiently regular) initial data, the genericity of the "lift-up effect to streak growth to streak breakdown" scenario for turbulent transition of the three-dimensional Couette flow near the threshold of stability forwarded in the applied mathematics and physics literature.
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