Rigorous derivation from Landau-de Gennes theory to Ericksen-Leslie theory

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Wang, Wei ; Zhang, Pingwen ; Zhang, Zhifei (2013)
  • Subject: Mathematics - Analysis of PDEs
    arxiv: Mathematics::Analysis of PDEs | Quantitative Biology::Populations and Evolution

Starting from Beris-Edwards system for the liquid crystal, we present a rigorous derivation of Ericksen-Leslie system with general Ericksen stress and Leslie stress by using the Hilbert expansion method.
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