Memoirs of the american mathematical society dynamics near the subcritical transition of the 3d couette flow i

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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.



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.

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Taal: en

Bindwijze: Paperback

Oorspronkelijke releasedatum: 30 oktober 2020

Aantal pagina's: 154

Illustraties: Nee

Hoofdauteur: Jacob Bedrossian

Tweede Auteur: Pierre Germain

Co Auteur: Nader Masmoudi

Hoofduitgeverij: American Mathematical Society

Product breedte: 178 mm

Product lengte: 254 mm

Studieboek: Ja

Verpakking breedte: 178 mm

Verpakking hoogte: 254 mm

Verpakking lengte: 254 mm

Verpakkingsgewicht: 320 g

EAN: 9781470442170

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