On energetic variational approaches in modeling the nematic liquid crystal flows

Huan Sun, Chun Liu

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In this paper we present results for the existence of classical solutions of a hydrodynamical system modeling the flow of nematic liquid crystals. The system consists of a coupled system of Navier-Stokes equations and various kinematic transport equations for the molecular orientations. A formal physical derivation of the induced elastic stress using least action principle reflects the special coupling between the transport and the induced stress terms. The derivation and the analysis of the system falls into a general energetic variational framework for complex fluids with elastic effects due to the presence of nontrivial microstructures.

Original languageEnglish (US)
Pages (from-to)455-475
Number of pages21
JournalDiscrete and Continuous Dynamical Systems
Issue number1-2
StatePublished - Jan 1 2009


All Science Journal Classification (ASJC) codes

  • Analysis
  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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