Jacob Bedrossian, Nader Masmoudi, Pierre Germain Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case 9781470472252

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Автор: Jacob Bedrossian, Nader Masmoudi, Pierre Germain
Название: Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case
ISBN: 9781470472252
Издательство: Mare Nostrum (Eurospan)
Классификация:

Дифференциальное исчисление и дифференциальные уравнения

Математическая физика

ISBN-10: 1470472252
Обложка/Формат: Paperback
Страницы: 133
Вес: 0.43 кг.
Дата издания: 30.09.2022
Серия: Memoirs of the american mathematical society
Язык: English
Размер: 183 x 257 x 125
Ключевые слова: Differential calculus & equations,Mathematical physics
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Поставляется из: Англии
Описание: This is the second in a pair of works which study small disturbances to the plane, periodic 3D Couette flow in the incompressible Navier-Stokes equations at high Reynolds number Re. In this work, we show that there is constant 0 0 exist at least until t = c0???1 and in general evolve to be O(c0) due to the lift-up e?ect. Further, after times t Re1/3, the streamwise dependence of the solution is rapidly diminished by a mixing-enhanced dissipation e?ect and the solution is attracted back to the class of 2.5 dimensional streamwise-independent solutions (sometimes referred to as streaks). The largest of these streaks are expected to eventually undergo a secondary instability at t ? ???1. Hence, our work strongly suggests, for all (sufficiently regular) initial data, the genericity of the lift-up e?ect streak growth streak breakdown scenario for turbulent transition of the 3D Couette flow near the threshold of stability forwarded in the applied mathematics and physics literature.
Дополнительное описание: Differential calculus and equations|Mathematical physics

Dynamics Near the Subcritical Transition of the 3D Couette Flow II: Above Threshold Case, Jacob Bedrossian, Nader Masmoudi, Pierre Germain