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The hydrostatic limit of the Beris-Edwards system in dimension two. (arXiv:2212.03310v1 [math.AP]) http://arxiv.org/abs/2212.03310

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

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.

arxiv.org
December 8, 2022 at 3:10 AM · · feed2toot · 0 · 0 · 0
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