217 citations · 1.8k across the 81 of their papers we have counts for
5 papers · 2 filters
Rigorous derivation from Landau-de Gennes theory to Ericksen-Leslie theory
Wei Wang, Pingwen Zhang, Zhifei Zhang
Starting from Beris-Edwards system for the liquid crystal, we present a rigorous derivation of Ericksen-Leslie system with general Ericksen stress and Leslie stress by using the Hi…
From microscopic theory to macroscopic theory: a systematic study on static modeling for liquid crystals
Jiequn Han, Yi Luo, Wei Wang +1
In this paper, we propose a systematic way of liquid crystal modeling to build connection between microscopic theory and macroscopic theory. A new Q-tensor theory based on Onsager'…
From microscopic theory to macroscopic theory: dynamics of the rod-like liquid crystal molecules
Wei Wang, Pingwen Zhang, Zhifei Zhang
Starting from Doi-Onsager equation for the liquid crystal, we first derive the Q-tensor equation by the Bingham closure. Then we derive the Ericksen-Leslie equation from the Q-tens…
Break-down criterion for the water-wave equation
Chao Wang, Zhifei Zhang
We study the break-down mechanism of smooth solution for the gravity water-wave equation of infinite depth. It is proved that if the mean curvature of the free surface , t…
Global unique solvability of inhomogeneous Navier-Stokes equations with bounded density
Marius Paicu, Ping Zhang, Zhifei Zhang
In this paper, we prove the global existence and uniqueness of solution to d-dimensional (for ) incompressible inhomogeneous Navier-Stokes equations with initial density bei…