5 papers
Asymptotic stability of the 2D Boussinesq equations around Couette flow in infinite channel
Qionglei Chen, Jiakun Jin, Zhen Li +1
In this paper, we investigate the stability threshold of the two-dimensional Boussinesq system around the Couette flow in an infinite channel under Navier-…
Sharp non-uniqueness of weak solutions to 2D magnetohydrodynamic equations
Changxing Miao, Yao Nie, Weikui Ye
In this paper, we prove that weak solutions to the 2D viscous and resistive magnetohydrodynamic (MHD) equations are non-unique in $L^2_t L^p(\mathbb{R}^2) \cap L^1_t W^{1,p}(\mathb…
Non-uniqueness of smooth solutions to the Navier-Stokes equations on torus $\TTT^2$
Changxing Miao, Yao Nie, Weikui Ye
The local well-posedness theory for the incompressible Navier-Stokes equations in $\BMO^{-1}$ has attracted considerable attention over the past two decades. In a recent breakthrou…
Quantitative stability for the 2D Couette flow on the infinite channel with non-slip boundary condition
Qionglei Chen, Zhen Li, Changxing Miao
In this paper, we investigate the quantitative stability for the 2D Couette flow on the infinite channel with non-slip boundary condition. Compared to the…
The optimal transition threshold for the 2D Couette flow in the infinite channel
Qionglei Chen, Zhen Li, Changxing Miao
We investigate the stability of the 2-D Navier-Stokes equations in the infinite channel with the Navier-slip boundary condition. We show that if the initi…