5 citations · 8 across the 4 of their papers we have counts for
4 papers · 1 filter
The local characterizations of the singularity formation for the MHD equations
Wenke Tan, Fan Wu
This paper characterizes the possible blow-up of solutions for the 3D magneto-hydrodynamics (MHD for short) equations. We first establish some -regularity criteria in $L^{q,\inf…
The localized characterization for the singularity formation in the Navier-Stokes equations
W. Tan
This paper is concerned with the localized behaviors of the solution to the Navier-Stokes equations near the potential singular points. We establish the concentration rate for…
The energy conservation and regularity for the Navier-Stokes equations
W. Tan, Z. Yin
In this paper, we consider the energy conservation and regularity of the weak solution to the Navier-Stokes equations in the endpoint case. We first construct a divergence-free…
Global solution to liquid crystal flows in three dimensions
Wenke Tan, Zhaoyang Yin
In this paper, we mainly study a hydrodynamic system modeling the flow of nematic liquid crystals. In three dimensions, we first establish local well-posedness of the initial-bound…