Suitable Weak Solutions for the Co-rotational Beris–Edwards System in Dimension Three

Research output: Journal Publications and Reviews (RGC: 21, 22, 62)21_Publication in refereed journal

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Original languageEnglish
Pages (from-to)749–803
Journal / PublicationArchive for Rational Mechanics and Analysis
Volume238
Issue number2
Online published17 Jul 2020
Publication statusPublished - Nov 2020

Abstract

In this paper, we establish the global existence of a suitable weak solution to the co-rotational Beris–Edwards Q-tensor system modeling the hydrodynamic motion of nematic liquid crystals with either Landau–De Gennes bulk potential in R3 or Ball–Majumdar bulk potential in T3, a system coupling the forced incompressible Navier–Stokes equation with a dissipative, parabolic system of Q-tensor Q in R3, which is shown to be smooth away from a closed set Σ whose 1-dimensional parabolic Hausdorff measure is zero.