Weak-strong uniqueness property for the compressible flow of liquid crystals

2012/03/30 by Yong‐Fu Yang, Yang, Yong-Fu, Changsheng Dou +3
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1203.6745

openalex publication_date 2012/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Weak-strong uniqueness property in the class of finite energy weak solutions is established for two different compressible liquid crystal systems by the method of relative entropy. To overcome the difficulties caused by the molecular direction with inhomogeneous Dirichlet boundary condition, new techniques are introduced to build up the relative entropy inequalities.

Citations

• Some constitutive equations for liquid crystals

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