Interior regularity criterion for incompressible Ericksen-Leslie system

Abstract

Abstract An interior regularity criterion of suitable weak solutions is formulated for the Ericksen-Leslie system of liquid crystals. Such a criterion is point-wise, with respect to some appropriate norm of velocity u and the gradient of d, and it can be viewed as a sort of simply sufficient condition on the local regularity of suitable weak solutions.

Keywords

• interior regularity
• suitable weak solution
• liquid crystal