Well-Posedness and Space-Time Regularity of Solutions to the Liquid Crystal Equations in Critical Space

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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.

Keywords:

space-time regularity liquid crystal system critical Sobolev space.
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