loading page

Long-time behavior of global weak solutions for a Beris-Edwards type model of nematic liquid crystals
  • Blanca CLIMENT-EZQUERRA,
  • Francisco Guillen-Gonzalez
Blanca CLIMENT-EZQUERRA
Universidad de Sevilla
Author Profile
Francisco Guillen-Gonzalez
Universidad de Sevilla
Author Profile

Abstract

We consider a generalization of the standard Beris-Edwards system modeling incompressible liquid crystal flows of nematic type. This couples a Navier-Stokes system for the fluid velocity with an evolution equation for the Q-tensors variable describing the direction of liquid crystal molecules. The convergence at infinite time for global solutions is studied and we prove that whole trajectory goes to a single equilibrium by using a Lojasiewicz-Simon's result.