Artículo
A 3D isothermal model for nematic liquid crystals 1 with delay terms
Autor/es | Caraballo Garrido, Tomás
Cavaterra, Cecilia |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones diferenciales y Análisis numérico |
Fecha de publicación | 2022-08-01 |
Fecha de depósito | 2022-09-29 |
Publicado en |
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Resumen | 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 fi eld u which is ruled by the 3D incompressible Navier-Stokes ... 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 fi eld 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 eld d is described by a modifi ed Allen-Cahn equation with a suitable penalization of the physical constraint jdj = 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. |
Cita | Caraballo Garrido, T. y Cavaterra, C. (2022). A 3D isothermal model for nematic liquid crystals 1 with delay terms. American institute of mathematical sciences, 15 (8), 6147-6172. |
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