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Dynamics Near the Subcritical Transition of the 3D Couette Flow II (volume 279) by Jacob Bedrossian
£79.00
Out of stock
Product Ref. (e.g. ISBN, SKU)
9781470472252
Published:
30 Nov 2022
Format:
Paperback
Number of pages:
133 pages
Dimensions:
254x178mm
Weight:
0.363kgs
Author:
volume 279 from the Memoirs of the American Mathematical Society series.
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.
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.
About the Author: Jacob Bedrossian, University of Maryland, College Park, MD.Pierre Germain, Courant Institute of Mathematical Sciences, New York City, NY.Nader Masmoudi, Courant Institute of Mathematical Sciences, New York City, New York.
| Number of pages | 133 |
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