The existence and blow-up criterion of liquid crystals system in critical Besov space

Abstract

We consider the existence of strong solution to liquid crystals system in critical Besov space,then give a criterion which is similar to Serrin's criterion on regularity of weak solution to Navier-Stokes equations.

arXiv comment12 pages

References in corpus (1)

• Asymptotic Behavior for a Nematic Liquid Crystal Model with Different Kinematic Transport Properties

Cited by in corpus (1)

• Long-time Behavior of Solution for the Compressible Nematic Liquid Crystal Flows in ${\mathbb{R}}^3$