Dynamics Near The Subcritical Transition Of The 3d Couette Flow I Below Threshold Case
Download Dynamics Near The Subcritical Transition Of The 3d Couette Flow I Below Threshold Case PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Dynamics Near The Subcritical Transition Of The 3d Couette Flow I Below Threshold Case book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages.
Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case
Author: Jacob Bedrossian
language: en
Publisher: American Mathematical Society
Release Date: 2022-08-31
View the abstract.
Dynamics Near the Subcritical Transition of the 3D Couette Flow I: Below Threshold Case
Author: Jacob Bedrossian
language: en
Publisher: American Mathematical Soc.
Release Date: 2020-09-28
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 $epsilon leq c_0mathbf {Re}^-1$ 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.
Transition Threshold for the 3D Couette Flow in a Finite Channel
Author: Qi Chen
language: en
Publisher: American Mathematical Society
Release Date: 2024-05-15
View the abstract.