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.
No takes yet. Share an insight, caveat, or question.
Lin et al. (1995) studied this question.
Synapse has enriched 5 related papers. Consider them for comparative context: