Long-time behavior of global weak solutions for a beris-edwards type model of nematic liquid crystals

Autor: Climent Ezquerra, María Blanca, Guillén González, Francisco Manuel
Přispěvatelé: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla. FQM131: Ec.diferenciales,Simulacion Num.y Desarrollo Software
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Popis: We consider a Beris-Edwards system modeling incompressible liquid crystal flows of nematic type. This system couples a Navier–Stokes system for the fluid velocity with a time-dependent system for the Q-tensor variable, whose spectral decomposition is related to the directors of liquid crystal molecules. The long-time behavior for global weak solutions is studied, proving that each whole trajectory converges to a single equilibrium whenever a regularity hypothesis is satisfied by the energy of the weak solution.
Databáze: OpenAIRE