WELL-POSEDNESS AND SPACE-TIME REGULARITY OF THE SOLUTIONS TO THE LIQUID CRYSTAL EQUATIONS IN CRITICAL SPACE |
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| Authors: | Congchong Guo |
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| Affiliation: | Longyan University, Longyan, 364000, Fujian, PR China |
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| 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. |
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| Keywords: | space-time regularity liquid crystal system critical Sobolev space |
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