Regularity of Solutions to the Liquid Crystals Systems in $\mathbb{R}^2$ and $\mathbb{R}^3$

TL;DR

This paper proves regularity and uniqueness of solutions for density-dependent nematic liquid crystals systems in two and three dimensions, extending previous work on global existence of weak solutions.

Contribution

It introduces new regularity and uniqueness results for the density-dependent nematic liquid crystals system, advancing understanding beyond prior existence results.

Findings

Established regularity of solutions in $\

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Abstract

Global existence for weak solutions to systems of nematic liquid crystals, with non-constant fluid density has been established by several authors. In this paper, we establish the regularity and uniqueness results for solutions to the density dependent nematic liquid crystals system.