Local and global well-posedness in the $L^2$-setting for the Q-tensor model in ${\mathbb{R}}^N$ and ${\mathbb{R}}_{+}^N$

Daniele Barbera, Vladimir Georgiev, Miho Murata +1

The paper studies the Q-tensor model for nematic liquid crystals, a system that couples a Navier-Stokes equation with an evolution equation for the order parameter tensor Q. The fi…