Regularity Criteria for a Coupled Navier-Stokes and Q-Tensor System

الملخص EN

We study a system describing the evolution of a nematic liquid crystal flow.

The system couples a forced Navier-Stokes system describing the flow with a parabolic-type system describing the evolution of the nematic crystal director fields (Q-tensors).

We prove some regularity criteria for the local strong solutions.

However, we do not provide estimates on the rates of increase of high norms.