Interaction of liquid crystals with a rigid body

Abstract

This article investigates the interaction of nematic liquid crystals modeled by a simplified Ericksen-Leslie model with a rigid body. 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 of the global strong solution relies on a new splitting method for the director in a mean value zero and average part.

Accepted for publication in Transactions of the American Mathematical Society

References in corpus (3)

• Mathematical Analysis of the Motion of a Rigid Body in a Compressible Navier-Stokes-Fourier Fluid
• Rigorous analysis of the interaction problem of sea ice with a rigid body
• On the motion of a large number of small rigid bodies in a viscous incompressible fluid