The $\mathcal{R}$-boundedness of solution operators for the $Q$-tensor model of nematic liquid crystals
Analysis of PDEs
2025-06-06 v1 Mathematical Physics
math.MP
Abstract
In this paper, we consider a resolvent problem arising from the -tensor model for liquid crystal flows in the half-space. Our purpose is to show the -boundedness for the solution operator families of the resolvent problem when the resolvent parameter lies near the origin. The definition of the -solvability implies the uniform boundedness of the operator and, consequently, the resolvent estimates for the linear system.
Cite
@article{arxiv.2506.05152,
title = {The $\mathcal{R}$-boundedness of solution operators for the $Q$-tensor model of nematic liquid crystals},
author = {Daniele Barbera and Miho Murata},
journal= {arXiv preprint arXiv:2506.05152},
year = {2025}
}