Nonparabolic dissipative systems modeling the flow of liquid crystals



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.