217 citations · 1.8k across the 81 of their papers we have counts for
6 papers · 1 filter
Partially strong transparency conditions and a singular localization method in geometric optics
Yong Lu, Zhifei Zhang
This paper focuses on the stability analysis of WKB approximate solutions in geometric optics with the absence of strong transparency conditions. We introduce a compatible conditio…
Dynamics of the Nematic-Isotropic sharp interface for the liquid crystal
Mingwen Fei, Wei Wang, Pingwen Zhang +1
In this paper, we derive the sharp interface model of the nematic-isotropic phase transition from the Landau-de Gennes theory by using the matched asymptotic expansion method. The…
On the interior regularity criteria of the 3-D Navier-Stokes equations involving two velocity components
Wendong Wang, Liqun Zhang, Zhifei Zhang
We present some interior regularity criteria of the 3-D Navier-Stokes equations involving two components of the velocity. These results in particular imply that if the solution is…
Integral Control on Lie Groups
Zhifei Zhang, Alain Sarlette, Zhihao Ling
In this paper, we extend the popular integral control technique to systems evolving on Lie groups. More explicitly, we provide an alternative definition of "integral action" for pr…
Global well-posedness of 3-D inhomogeneous Navier-Stokes equations with ill-prepared initial data
Ping Zhang, Zhifei Zhang
In this paper, we investigate the global well-posedness of 3-D incompressible inhomogeneous Navier-Stokes equations with ill-prepared large initial data which are slowly varying in…
Long time well-posdness of Prandtl system with small and analytic initial data
Ping Zhang, Zhifei Zhang
In this paper, we investigate the long time existence and uniqueness of small solution to for dimensional Prandtl system with small initial data which is analytic in…