Bedrossian, Jacob Germain, Pierre Masmoudi, Nader Dynamics near the subcritical transition of the 3d couette flow i 9781470442170

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Автор: Bedrossian, Jacob Germain, Pierre Masmoudi, Nader
Название: Dynamics near the subcritical transition of the 3d couette flow i
ISBN: 9781470442170
Издательство: Mare Nostrum (Eurospan)
Классификация:

Основы высшей математики и математический анализ

ISBN-10: 1470442175
Обложка/Формат: Paperback
Страницы: 154
Вес: 0.32 кг.
Дата издания: 30.10.2020
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 177 x 253 x 16
Читательская аудитория: Professional and scholarly
Ключевые слова: Calculus & mathematical analysis
Подзаголовок: Below threshold case
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Поставляется из: Англии
Описание: 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.
Дополнительное описание: Calculus and mathematical analysis

Dynamics near the subcritical transition of the 3d couette flow i, Bedrossian, Jacob Germain, Pierre Masmoudi, Nader