A 3D isothermal model for nematic liquid crystals 1 with delay terms
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 coupl...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2022 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/137469 |
| Acceso en línea: | https://hdl.handle.net/11441/137469 https://doi.org/10.3934/dcdss.2022097 |
| Access Level: | acceso abierto |
| Palabra clave: | Liquid crystals Navier-Stokes system delay terms |
| Sumario: | 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. |
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