Dynamics Near the Subcritical Transition of the 3D Couette Flow I 1

Vetenskap & teknik

Dynamics Near the Subcritical Transition of the 3D Couette Flow I

Jacob Bedrossian • Pierre Germain • Nader Masmoudi

Pocket

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154 sidor
2020

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.

Författare: Jacob Bedrossian, Pierre Germain, Nader Masmoudi
Format: Pocket/Paperback
ISBN: 9781470442170
Språk: Engelska
Antal sidor: 154
Utgivningsdatum: 2020-10-30
Förlag: American Mathematical Society