Existence of strong solutions for the compressible Ericksen-Leslie model

Abstract

In this paper, we prove the existence and uniqueness of local strong solutions of the hydrodynamics of nematic liquid crystals system under the initial data satisfying a natural compatibility condition. Also the global strong solutions of the system with small initial data are obtained.

References in corpus (1)

• A blow-up criterion for the compressible liquid crystals system

Cited by in corpus (4)

• Global strong solution to the density-dependent incompressible flow of liquid crystals
• Long-time dynamics of the nonhomogeneous incompressible flow of nematic liquid crystals
• Incompressible Limit of the Compressible Nematic Liquid Crystal Flow
• A Beale--Kato--Majda criterion for the 3-D Compressible Nematic Liquid Crystal Flows with Vacuum