Dynamics and flow effects in the Beris-Edwards system modelling nematic liquid crystals

Abstract

We consider the Beris-Edwards system modelling incompressible liquid crystal flows of nematic type. This couples a Navier-Stokes system for the fluid velocity with a parabolic reaction-convection-diffusion equation for the Q-tensors describing the direction of liquid crystal molecules. In this paper, we study the effect that the flow has on the dynamics of the Q-tensors, by considering two fundamental aspects: the preservation of eigenvalue-range and the dynamical emergence of defects in the limit of high Ericksen number

References in corpus (2)

• Global strong solutions of the full Navier-Stokes and $Q$-tensor system for nematic liquid crystal flows in $2D$: existence and long-time behavior
• Shear flow dynamics in the Beris-Edwards model of nematic liquid crystals

Cited by in corpus (5)

• Suitable weak solutions for the co-rotational Beris-Edwards system in dimension three
• Incompressible limit of the Ericksen-Leslie hyperbolic liquid crystal model in compressible flow
• Active nematic gel with quenched disorder
• An elementary proof of eigenvalue preservation for the co-rotational Beris-Edwards system
• Global Well-posedness of the Two Dimensional Beris-Edwards System with General Laudau-de Gennes Free Energy