3 papers
math.AP2026
Long-time behaviour of two-dimensional Navier-Stokes equations in the presence of Couette flow on the half plane
Ning Liu, Nader Masmoudi, Weiren Zhao
In this paper, we study the long-time behavior of solutions to the two-dimensional Navier-Stokes equations in the presence of Couette flow on the half plane with Navier-slip bounda…
math.AP2025
Nonlinear Evolution Toward the Linear Diffusive Profile in the Presence of Couette Flow
Ning Liu, Ping Zhang, Weiren Zhao
In this paper, we investigate the long-time behavior of solutions to the two-dimensional Navier-Stokes equations with initial data evolving under the influence of the planar Couett…
math.AP2024
Global stability of large Fourier mode for 3-D anisotropic Navier-Stokes equations in cylindrical domain
Ning Liu, Yanlin Liu, Ping Zhang
In this paper, we first establish the global existence and stability of solutions to 3-D classical Navier-Stokes equations in an infinite cylindrical domain with large Fouri…