Local existence of unique strong solution to non-isothermal model for incompressible nematic liquid crystals in 3D

TL;DR

This paper proves the local existence and uniqueness of strong solutions for a non-isothermal 3D model of incompressible nematic liquid crystals with periodic initial conditions.

Contribution

It establishes the first local well-posedness result for the non-isothermal nematic liquid crystal model in three dimensions.

Findings

Existence and uniqueness of strong solutions proven

Results apply to periodic initial conditions in 3D

Contributes to mathematical understanding of liquid crystal dynamics

Abstract

In this paper, we consider the non-isothermal model for incompressible flow of nematic liquid crystals in three dimensions and prove the local existence and uniqueness of the strong solution with periodic initial conditions on $ \mathbb{T}^3$ .