Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case Paperback / softback
by Jacob Bedrossian, Pierre Germain, Nader Masmoudi
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
This is the second in a pair of works which study small disturbances to the plane, periodic 3D Couette flow in the incompressible Navier-Stokes equations at high Reynolds number Re.
In this work, we show that there is constant 0 0 exist at least until t = c0???1 and in general evolve to be O(c0) due to the lift-up e?ect.
Further, after times t Re1/3, the streamwise dependence of the solution is rapidly diminished by a mixing-enhanced dissipation e?ect and the solution is attracted back to the class of "2.5 dimensional" streamwise-independent solutions (sometimes referred to as "streaks").
The largest of these streaks are expected to eventually undergo a secondary instability at t ? ???1. Hence, our work strongly suggests, for all (sufficiently regular) initial data, the genericity of the "lift-up e?ect streak growth streak breakdown" scenario for turbulent transition of the 3D Couette flow near the threshold of stability forwarded in the applied mathematics and physics literature.
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Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:133 pages
- Publisher:American Mathematical Society
- Publication Date:30/11/2022
- Category:
- ISBN:9781470472252
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Information
-
Available to Order - This title is available to order, with delivery expected within 2 weeks
- Format:Paperback / softback
- Pages:133 pages
- Publisher:American Mathematical Society
- Publication Date:30/11/2022
- Category:
- ISBN:9781470472252
