  This paper investigates the interaction of nematic liquid crystals modeled by
a simplified Ericksen-Leslie model with a colloidal particle. It is shown that
this problem is locally strongly well-posed, and that it also admits a unique
global strong solution for initial data close to constant equilibria. The proof
relies on the property of maximal regularity of the corresponding linearized
problem. In particular, for the global well-posedness, a splitting of the
director part in mean value zero and average part is employed.

Analysis of PDEs