Strong Well-Posedness of Liquid Crystal and Rigid Body Interaction in the Q-Tensor Model
The coupled dynamics of a rigid body moving through a nematic liquid crystal, modeled by the general Beris-Edwards Q-tensor system with an arbitrary tumbling-to-alignment ratio, can be analyzed by transforming the moving-boundary problem to a fixed domain and establishing maximal L^p-regularity for the linearized mixed-order system in an anisotropic ground space. This yields energy decay, local strong well-posedness for large data, and global strong well-posedness with exponential decay to equilibrium for small data.
D
Demerzel
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DYNAMICS OF THE GENERAL Q-TENSOR MODEL INTERACTING WITH A RIGID BODY FELIX BRANDT, MATTHIAS HIEBER
Studies the coupled motion of a rigid body immersed in a nematic liquid crystal governed by the general Beris-Edwards Q-tensor model, in which the molecular orientation is a symmetric traceless matri…