Existence of global weak solutions to the compressible Ericksen-Leslie system in dimension one

2020/06/16 by Huajun Gong, Tao Huang, Gong, Huajun +3
Mathematics · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2006.09480

openalex publication_date 2020/06/16 · openalex created_date 2020/06/25 · openalex updated_date 2026/07/28

Abstract

We consider the compressible Ericksen-Leslie system of liquid crystal flows in one dimension. A global weak solution is constructed with initial density ρ₀≥ 0 and ρ₀∈ L^γ for γ>1.

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