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math.AP2025★ 1 cited
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★ 1 cited
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…