Dynamics Near the Subcritical Transition of the 3D Couette Flow I : Below Threshold Case Paperback / softback
by Jacob Bedrossian, Pierre Germain, Nader Masmoudi
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
The authors study small disturbances to the periodic, plane Couette flow in the 3D incompressible Navier-Stokes equations at high Reynolds number Re.
They prove that for sufficiently regular initial data of size $\epsilon \leq c_0\mathbf {Re}^-1$ for some universal $c_0 > 0$, the solution is global, remains within $O(c_0)$ of the Couette flow in $L^2$, and returns to the Couette flow as $t \rightarrow \infty $.
For times $t \gtrsim \mathbf {Re}^1/3$, the streamwise dependence is damped by a mixing-enhanced dissipation effect and the solution is rapidly attracted to the class of ""2.5 dimensional'' streamwise-independent solutions referred to as streaks.
Information
-
Out of stock
- Format:Paperback / softback
- Pages:154 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2020
- Category:
- ISBN:9781470442170
Information
-
Out of stock
- Format:Paperback / softback
- Pages:154 pages
- Publisher:American Mathematical Society
- Publication Date:30/10/2020
- Category:
- ISBN:9781470442170
