Dynamics of the General \({Q}\)-Tensor Model Interacting with a Rigid Body
Abstract
Abstract. In this article, the fluid–rigid body interaction problem of nematic liquid crystals described by the general Beris–Edwards [Formula: see text]-tensor model is studied. It is proved first that the total energy of this problem decreases in time. The associated mathematical problem is a quasilinear mixed-order system with moving boundary. After the transformation to a fixed domain, a monolithic approach based on the added mass operator and lifting arguments is employed to establish the maximal [Formula: see text]-regularity of the linearized problem in an anisotropic ground space. This paves the way for the local strong well-posedness for large data and global strong well-posedness for small data of the interaction problem.
Fields of Study & Subjects
Elasticity and Wave Propagation
Fluid dynamics and aerodynamics studies
Nonlinear Waves and Solitons
Publication details
- Journal / source
- SIAM Journal on Mathematical Analysis
- Publisher
- Society for Industrial & Applied Mathematics (SIAM)
- Volume
- 58
- Issue
- 1
- Pages
- 372–410
- Publication date
- 22 January 2026
- Language
- EN