2 papers
math.AP2025
Stability threshold of the two-dimensional Couette flow in the whole plane
Hui Li, Ning Liu, Weiren Zhao
In this paper, we study the stability threshold for the two-dimensional Couette flow in the whole plane. Our main result establishes that the asymptotic stability threshold is at m…
math.AP2024
Viscosity driven instability of shear flows without boundaries
Hui Li, Weiren Zhao
In this paper, we study the instability effect of viscous dissipation in a domain without boundaries. We construct a shear flow that is initially spectrally stable but evolves into…