| Abstract: |
| Ericksen-Leslie hydrodynamical system describes the motion of nematic liquid crystal molecules. Lin-Liu model is a simplified Ericksen-Leslie model which preserves the main structure of the original Ericksen-Leslie system. In this talk, I survey several results concerning about the global weak solutions to the Lin-Liu model, and the long-time asymptotic behaviors of these solutions. The problems to be addressed will be on both 2D and 3D, and on both domains with fixed boundary and free boundary. All the results presented in the talk are supported by RGC grants of Hong Kong. |
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