Zeren Zhang

activity

20242026

collaborators

3 papers

math.AP2026

Nonlinear stability threshold for 3D compressible Couette flow

Rui Li, Fei Wang, Lingda Xu +1

We establish the nonlinear stability threshold $O (I^½^{3/2})$ for the three-dimensional Couette flow governed by the compressible Navier--Stokes equations. While stability threshold…

math.AP2025

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field

Fei Wang, Lingda Xu, Zeren Zhang

We address a stability threshold problem of the Couette flow $(y, 0, 0)$ in a uniform magnetic fleld $I^\pm (I ¨ , 0, 1)$ with $I ¨ \in Q$ for the 3D MHD equations on $\mathbb{T}\times…

math.AP2024

The stability threshold for 2D MHD equations around Couette with general viscosity and magnetic resistivity

Fei Wang, Zeren Zhang

We address a threshold problem of the Couette flow $(y, 0)$ in a uniform magnetic field $(I^^{2}, 0)$ for the 2D MHD equation on $T \times R$ with fluid viscosity $I^½$ an…