2 papers
math.AP2024
The optimal time-decay estimates for 2-D inhomogeneous Navier-Stokes equations
Yanlin Liu
In this paper, we derive the optimal time-decay estimates for 2-D inhomogeneous Navier-Stokes equations. In particular, we prove that $\|u(t)\|_{\dot{B}^θ_{p,1}({\mathop{\mathbb R…
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…