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Updated: Apr 21, 2026

Forming, Confining, and Observing Microtubule-Based Active Nematics
Published on: January 13, 2023
Recent developments of analysis for hydrodynamic flow of nematic liquid crystals
1Courant Institute of Mathematical Sciences, New York University, New York, NY 10012, USA NYU-ECNU Institute of Mathematical Sciences, at NYU Shanghai, 3663 North Zhongshan Road, Shanghai 200062, People's Republic of China.
Abstract:
The study of hydrodynamics of liquid crystals leads to many fascinating mathematical problems, which has prompted various interesting works recently. This article reviews the static Oseen-Frank theory and surveys some recent progress on the existence, regularity, uniqueness and large time asymptotic of the hydrodynamic flow of nematic liquid crystals. We will also propose a few interesting questions for future investigations.
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