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math.AP2023
On the one time-varying component regularity criteria for 3-D Navier-Stokes equations
Yanlin Liu, Ping Zhang
In this paper, we consider the one time-varying component regularity criteria for local strong solution of 3-D Navier-Stokes equations. Precisely, if is a piecewise un…
math.AP2023
On the global stability of large Fourier mode for 3-D Navier-Stokes equations
Yanlin Liu, Ping Zhang
In this paper, we first prove the global existence of strong solutions to 3-D incompressible Navier-Stokes equations with solenoidal initial data, which writes in the cylindrical c…
math.AP2023
On the existence and structures of almost axisymmetric solutions to 3-D Navier-Stokes equations
Yanlin Liu, Li Xu
In this paper, we consider 3-D Navier-Stokes equations with almost axisymmetric initial data, which means that by writing in the cylindrical co…