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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis

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Dynamics Near the Subcritical Transition of the 3D Couette Flow I - Below Threshold Case (Paperback) Loot Price: R2,352

Discovery Miles 23 520

Repayment Terms: R220 pm x 12*

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Dynamics Near the Subcritical Transition of the 3D Couette Flow I - Below Threshold Case (Paperback): Jacob Bedrossian, Pierre...

Dynamics Near the Subcritical Transition of the 3D Couette Flow I - Below Threshold Case (Paperback)

Jacob Bedrossian, Pierre Germain, Nader Masmoudi

Series: Memoirs of the American Mathematical Society

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Loot Price R2,352 Discovery Miles 23 520 | Repayment Terms: R220 pm x 12*

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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, 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.

General

Imprint:	American Mathematical Society
Country of origin:	United States
Series:	Memoirs of the American Mathematical Society
Release date:	October 2020
Authors:	Jacob Bedrossian • Pierre Germain • Nader Masmoudi
Dimensions:	254 x 178 x 12mm (L x W x T)
Format:	Paperback
Pages:	154
ISBN-13:	978-1-4704-4217-0
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Promotions
LSN:	1-4704-4217-5
Barcode:	9781470442170