THE HYDROSTATIC LIMIT OF THE BERIS-EDWARDS SYSTEM IN DIMENSION TWO

We study the scaled anisotropic co-rotational Beris-Edwards system modeling the hydro- dynamic 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...

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Bibliographic Details
Authors: Li, X., Paicu, M., Zarnescu, A.
Format: article
Status:Published version
Publication Date:2023
Country:España
Institution:Basque Center for Applied Mathematics (BCAM)
Repository:BIRD. BCAM's Institutional Repository Data
OAI Identifier:oai:bird.bcamath.org:20.500.11824/1994
Online Access:http://hdl.handle.net/20.500.11824/1994
Access Level:Open access
Description
Summary:We study the scaled anisotropic co-rotational Beris-Edwards system modeling the hydro- dynamic 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.