2 citations · 5 across the 4 of their papers we have counts for
5 papers
From the Landau-de Gennes theory to the Ericksen-Leslie theory in dimension two
Zhouping Xin, Xiaotao Zhang
In this paper, we study the connection between the Ericksen-Leslie equations and the Beris-Edwards equations in dimension two. It is shown that the weak solutions to the Beris-Edwa…
Partial regularity of suitable weak solutions of the Navier-Stokes-Planck-Nernst-Poisson equation
Huajun Gong, Changyou Wang, Xiaotao Zhang
In this paper, inspired by the seminal work by Caffarelli-Kohn-Nirenberg \cite{CKN} on the incompressible Navier-Stokes equation, we establish the existence of a suitable weak solu…
Liouville theorem for steady-state solutions of simplified Ericksen-Leslie system
Yihang Hao, Xiangao Liu, Xiaotao Zhang
In this paper, we investigate the steady simplified Ericksen-Leslie system. For three dimension, we obtain Liouville theorems if and satisfy the Galdi's[1] condition…
Local well-posedness of isentropic compressible Navier-Stokes equations with vacuum
Huajun Gong, Jinkai Li, Xian-Gao Liu +1
In this paper, the local well-posedness of strong solutions to the Cauchy problem of the isentropic compressible Navier-Stokes equations is proved with the initial date being allow…
On optimal boundary control of Ericksen-Leslie system in dimension two
Qiao Liu, Changyou Wang, Xiaotao Zhang +1
In this paper, we consider the boundary value problem of a simplified Ericksen-Leslie system in dimension two with non-slip boundary condition for the velocity field and time-d…