Showing papers by "Chun Liu published in 1995"
TL;DR: In this paper, a simplified version of the original Ericksen-Leslie equations for the flow of liquid crystals is studied and several energy laws are derived to prove the global existence of weak solutions and the classical solutions.
Abstract: We study a simplified system which retains most of the interesting mathematical properties of the original Ericksen-Leslie equations for the flow of liquid crystals. This is a coupled nonparabolic dissipative dynamic system. We derive several energy laws which enable us to prove the global existence of the weak solutions and the classical solutions. We also discuss uniqueness and some stability properties of the system. ©1995 John Wiley & Sons, Inc.
609 citations
TL;DR: In this paper, the partial regularity of suitable weak solutions to the dynamical systems modelling the flow of liquid crystals is established, which is a natural generalization of an earlier work of Caffarelli-Kohn-Nirenberg on the Navier-Stokes system with some simplifications due to better estimates on the pressure term.
Abstract: Here we established the partial regularity of suitable weak solutions
to the dynamical systems modelling the flow of liquid crystals. It is a
natural generalization of an earlier work of Caffarelli-Kohn-Nirenberg on
the Navier-Stokes system with some simplifications due to better estimates
on the pressure term.
292 citations