3 papers
math.AP2026
Traveling waves near shear flows for the inhomogeneous Euler equations with non-constant density
Qi Zhao, Weiren Zhao
We investigate the existence and nonexistence of traveling wave solutions near monotonic shear flows with non-constant background density for the two-dimensional inhomogeneous Eule…
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…