Dynamics Near the Subcritical Transition of the 3d Couette Flow: Below Threshold Case - Couverture souple

Bedrossian, Jacob; Germain, Pierre; Masmoudi, Nader

Couverture souple

ISBN 10 : 1470442175 ISBN 13 : 9781470442170

Editeur : American Mathematical Society, 2020

Synopsis

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.

A propos du livre

À propos de l'auteur

Jacob Bedrossian, University of Maryland, College Park, MD,

Pierre Germain, Courant Institute of Mathematical Sciences, New York, NY

Nader Masmoudi, Courant Institute of Mathematical Sciences, New York City, NY

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2020
• Langue: anglais
• ISBN 10: 1470442175
• ISBN 13: 9781470442170
• Reliure: Broché
• Nombre de pages: 154
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible