UNIQUENESS OF WEAK SOLUTIONS OF THE FULL COUPLED NAVIER-STOKES AND Q-TENSOR SYSTEM IN 2D

摘要

This paper is devoted to the full system of incompressible liquid crystals, as modeled in the Q-tensor framework. The main purpose is to establish the uniqueness of weak solutions in a two-dimensional setting, without imposing an extra regularity on the solutions themselves. This result only requires the initial data to fulfill the features which allow the existence of a weak solution. Thus, we also revisit the global existence result in dimensions two and three.