# Existence and large time behavior to the nematic liquid crystal equations in Besov-Morrey spaces

## TL;DR

This paper proves the existence of unique global solutions to nematic liquid crystal equations in Besov-Morrey spaces and explores their self-similarity and long-term behavior.

## Contribution

It introduces a novel framework for analyzing nematic liquid crystal equations in Besov-Morrey spaces, establishing existence, uniqueness, and asymptotic properties.

## Key findings

- Existence of unique global mild solutions
- Self-similarity properties of solutions
- Large time behavior analysis

## Abstract

In this paper, we establish the uniquely existence of the global mild solution to the nematic liquid crystal equations in Besov-Morrey spaces. Some self-similarity and large time behavior of the global mild solution are also investigated.