Data di Pubblicazione:
2022
Citazione:
A 3D isothermal model for nematic liquid crystals with delay terms / T. Caraballo, C. Cavaterra. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S. - ISSN 1937-1632. - 15:8(2022 Aug), pp. 2117-2133. [10.3934/dcdss.2022097]
Abstract:
In this paper we consider a model describing the evolution of a nematic liquid crystal flow with delay external forces. We analyze the evolution of the velocity field u which is ruled by the 3D incompressible Navier-Stokes system containing a delay term and with a stress tensor expressing the coupling between the transport and the induced terms. The dynamics of the director field d is described by a modified Allen-Cahn equation with a suitable penalization of the physical constraint vertical bar d vertical bar = 1. We prove the existence of global in time weak solutions under appropriate assumptions, which in some cases requires the delay term to be small with respect to the viscosity parameter.
Tipologia IRIS:
01 - Articolo su periodico
Keywords:
Liquid crystals; Navier-Stokes system; delay terms;
Elenco autori:
T. Caraballo, C. Cavaterra
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