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arXiv · 2006.13174

Partial regularity of a nematic liquid crystal model with kinematic transport effects

Hengrong Du·Changyou Wang
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Abstract

In this paper, we will establish the global existence of a suitable weak solution to the Erickson--Leslie system modeling hydrodynamics of nematic liquid crystal flows with kinematic transports for molecules of various shapes in ${\mathbb{R}^3}$, which is smooth away from a closed set of (parabolic) Hausdorff dimension at most $\frac{15}{7}$.

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Hengrong Du, Changyou Wang. 2020-06-23. Partial regularity of a nematic liquid crystal model with kinematic transport effects. https://doi.org/10.1088/1361-6544/abe51c

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