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| WELL-POSEDNESS AND SPACE-TIME REGULARITY OF THE SOLUTIONS TO THE LIQUID CRYSTAL EQUATIONS IN CRITICAL SPACE |
| Congchong Guo |
| (Longyan University, Longyan, 364000, Fujian, PR China) |
| DOI： |
| Abstract: |
| In this paper, we consider a hydrodynamic flow of nematic liquid crystal system. We prove the local well-posedness for the system in the critical Lebesgue space,
and study the space-time regularity of the local solution. |
| Key words: space-time regularity; liquid crystal system; critical Sobolev space |