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arXiv · 2212.03310

The hydrostatic limit of the Beris-Edwards system in dimension two

Xingyu Li·Marius Paicu·Arghir Zarnescu
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Abstract

We study the scaled anisotropic co-rotational Beris-Edwards system modeling the hydrodynamic motion of nematic liquid crystals in dimension two. We prove the global well-posedness with small analytic data in a thin strip domain. Moreover, we justify the limit to a system involving the hydrostatic Navier-Stokes system with analytic data and prove the convergence.

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Xingyu Li, Marius Paicu, Arghir Zarnescu. 2023-05-03. The hydrostatic limit of the Beris-Edwards system in dimension two. https://arxiv.org/abs/2212.03310

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