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arXiv · 2310.17175

Interaction of liquid crystals with a rigid body

Tim Binz·Felix Brandt·Matthias Hieber·Arnab Roy
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Abstract

This article investigates the interaction of nematic liquid crystals modeled by a simplified Ericksen-Leslie model with a rigid body. It is shown that this problem is locally strongly well-posed, and that it also admits a unique, global strong solution for initial data close to constant equilibria. The proof of the global strong solution relies on a new splitting method for the director in a mean value zero and average part.

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Tim Binz, Felix Brandt, Matthias Hieber, Arnab Roy. 2023-10-26. Interaction of liquid crystals with a rigid body. https://doi.org/10.1090/tran%2F9242

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