Existence of strong solutions for the compressible Ericksen-Leslie model

2011/06/30 by Xiangao Liu, Liu, Xiangao, Lanming Liu +3
Mathematics · #Advanced Mathematical Physics Problems #Compatibility (geochemistry) #Compressibility #Condensed matter physics #FOS: Mathematics #Functional Analysis (math.FA) #Geometric Analysis and Curvature Flows #Liquid crystal #Materials science #Mathematical analysis #Mathematics #Mechanics #Navier-Stokes equation solutions #Physics #Uniqueness #math.FA

paper · pdf · doi:10.48550/arxiv.1106.6140

arxiv created 2011/06/30 · openalex publication_date 2011/06/30 · arxiv updated 2011/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove the existence and uniqueness of local strong solutions of the hydrodynamics of nematic liquid crystals system under the initial data satisfying a natural compatibility condition. Also the global strong solutions of the system with small initial data are obtained.

Citations

• A blow-up criterion for the compressible liquid crystals system

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