Global finite energy weak solutions to the compressible nematic liquid crystal flow in dimension three

2014/08/18 by Lin, Junyu, Lai, Baishun, Wang, Changyou
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1408.4149

Abstract

In this paper, we consider the initial and boundary value problem of a simplified compressible nematic liquid crystal flow in Ω⊂\mathbb R³. We establish the existence of global weak solutions, provided the initial orientational director field d₀ lies in the hemisphere \mathbb S²₊.

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