A blow-up criterion for the compressible liquid crystals system

2010/11/19 by Xiangao Liu, Liu, Xiangao, Lanming Liu +1 · 3 citations
Engineering · Mathematics · Physics and Astronomy · #35M10 #76N10 #82D30 #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #math-ph #math.MP #msc:35M10 #msc:76N10 #msc:82D30

paper · pdf · doi:10.48550/arxiv.1011.4399

openalex publication_date 2010/11/19 · arxiv created 2010/11/23 · arxiv updated 2010/11/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish a blow-up criterion for the compressible liquid crystals equations in terms of the gradient of the velocity only, similar to the Beale-Kato-Majda criterion \citemajda for ideal incompressible flows and the criterion obtained by Huang and Xin \citexin2 for the compressible Navier-Stokes equations.

Cited by

• Global Well-Posedness with Large Oscillations and Vacuum to the Three-Dimensional Equations of Compressible Nematic Liquid Crystal Flows
• Strong solutions of the compressible nematic liquid crystal flow
• A Beale--Kato--Majda criterion for the 3-D Compressible Nematic Liquid Crystal Flows with Vacuum

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