On the stability threshold for the 3D Couette flow in Sobolev regularity
We study Sobolev regularity disturbances to the periodic, plane Couette flow in the 3D
incompressible Navier-Stokes equations at high Reynolds number Re. Our goal is to …
incompressible Navier-Stokes equations at high Reynolds number Re. Our goal is to …
Transition threshold for the 2-D Couette flow in a finite channel
Q Chen, T Li, D Wei, Z Zhang - Archive for rational mechanics and …, 2020 - Springer
In this paper, we study the transition threshold problem for the 2-D Navier–Stokes equations
around the Couette flow (y, 0) at high Reynolds number Re in a finite channel. We develop a …
around the Couette flow (y, 0) at high Reynolds number Re in a finite channel. We develop a …
Transition threshold for the 3D Couette flow in Sobolev space
D Wei, Z Zhang - Communications on Pure and Applied …, 2021 - Wiley Online Library
In this paper, we study the transition threshold of the 3D Couette flow in Sobolev space at
high Reynolds number Re. It was proved that if the initial velocity v 0 satisfies for some c 0> …
high Reynolds number Re. It was proved that if the initial velocity v 0 satisfies for some c 0> …
[图书][B] The mathematical analysis of the incompressible Euler and Navier-Stokes equations: an introduction
J Bedrossian, V Vicol - 2022 - books.google.com
The aim of this book is to provide beginning graduate students who completed the first two
semesters of graduate-level analysis and PDE courses with a first exposure to the …
semesters of graduate-level analysis and PDE courses with a first exposure to the …
Stability of the Couette flow at high Reynolds numbers in two dimensions and three dimensions
AMS :: Bulletin of the American Mathematical Society Skip to Main Content American
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …
Mathematical Society American Mathematical Society MathSciNet Bookstore Publications …
[图书][B] Dynamics near the subcritical transition of the 3D Couette flow I: Below threshold case
We study small disturbances to the periodic, plane Couette flow in the 3D incompressible
Navier-Stokes equations at high Reynolds number Re. We prove that for sufficiently regular …
Navier-Stokes equations at high Reynolds number Re. We prove that for sufficiently regular …
Dynamics near the subcritical transition of the 3D Couette flow I: Below threshold case
We study small disturbances to the periodic, plane Couette flow in the 3D incompressible
Navier-Stokes equations at high Reynolds number $\textbf {Re} $. We prove that for …
Navier-Stokes equations at high Reynolds number $\textbf {Re} $. We prove that for …
[图书][B] Transition threshold for the 3D Couette flow in a finite channel
Q Chen, D Wei, Z Zhang - 2024 - ams.org
In this paper, we study nonlinear stability of the 3D plane Couette flow $(y, 0, 0) $ at high
Reynolds number ${Re} $ in a finite channel $\mathbb {T}\times [-1, 1]\times\mathbb {T} $. It …
Reynolds number ${Re} $ in a finite channel $\mathbb {T}\times [-1, 1]\times\mathbb {T} $. It …
Pseudospectral bound and transition threshold for the 3D Kolmogorov flow
T Li, D Wei, Z Zhang - Communications on Pure and Applied …, 2020 - Wiley Online Library
In this paper, we study pseudospectral bounds for the linearized operator of the Navier‐
Stokes equations around the 3D Kolmogorov flow. Using the pseudospectral bound and the …
Stokes equations around the 3D Kolmogorov flow. Using the pseudospectral bound and the …
Nonlinear stability results for plane Couette and Poiseuille flows
We prove that the plane Couette and Poiseuille flows are nonlinearly stable if the Reynolds
number is less than Re Orr (2 π/(λ sin θ))/sin θ when a perturbation is a tilted perturbation in …
number is less than Re Orr (2 π/(λ sin θ))/sin θ when a perturbation is a tilted perturbation in …