Artículo
Convergence to equilibrium of global weak solutions for a Q-tensor problem related to liquid crystals
Autor/es | Climent Ezquerra, María Blanca
![]() ![]() ![]() ![]() ![]() ![]() ![]() Guillén González, Francisco Manuel ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2018-05-07 |
Fecha de depósito | 2022-11-11 |
Publicado en |
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Resumen | We study a Q-tensor problem modeling the dynamic of nematic liquid crystals in 3D domains. The system consists of the Navier-Stokes equations, with an extra stress tensor depending on the elastic forces of the liquid ... We study a Q-tensor problem modeling the dynamic of nematic liquid crystals in 3D domains. The system consists of the Navier-Stokes equations, with an extra stress tensor depending on the elastic forces of the liquid crystal, coupled with an Allen-Cahn system for the Q-tensor variable. This problem has a dissipative in time free-energy which leads, in particular, to prove the existence of global in time weak solutions. We analyze the large-time behavior of the weak solutions. By using a Lojasiewicz-Simon's result, we prove the convergence as time goes to infinity of the whole trajectory to a single equilibrium. |
Cita | Climent Ezquerra, M.B. y Guillén González, F.M. (2018). Convergence to equilibrium of global weak solutions for a Q-tensor problem related to liquid crystals. https://doi.org/10.48550/arXiv.1805.02439. |
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