We consider the motion of a viscous incompressible liquid crystal flow in the N-dimensional whole space. We prove the global well-posedness of strong solutions for small initial data by combining the maximal Lp- Lq regularities and Lp- Lq decay properties of solutions for the Stokes equations and heat equations. As a result, we also proved the decay properties of the solutions to the nonlinear equations.
- Global solutions in R
- Nematic liquid crystals
- Quasilinear parabolic evolution equations
ASJC Scopus subject areas
- Mathematics (miscellaneous)