Global large solutions and incompressible limit for the compressible flow of liquid crystals

TL;DR

This paper investigates the global existence of large solutions and the incompressible limit in the compressible flow of liquid crystals, utilizing Fourier analysis and critical Besov norms under near-constant density and high viscosity conditions.

Contribution

It introduces a novel approach combining Fourier analysis and Besov norms to analyze large solutions and the incompressible limit in liquid crystal flows.

Findings

Established global large solutions under specific conditions.

Demonstrated the incompressible limit for the flow.

Utilized critical Besov norms for analysis.

Abstract

The present paper is dedicated to the global large solutions and incompressible limit for the compressible flow of liquid crystals under the assumption on almost constant density and large volume viscosity. The result is based on Fourier analysis and involved so-called critical Besov norm.