Static and Dynamic Theories of Liquid Crystals

By F. Lin, Chun Liu. Journal of Partial Differential Equations, 2001

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Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory (2008, background): “1) The corresponding matrix norm is defined to be [14]”
A phase field model for the mixture of two incompressible fluids and its approximation by a Fourier-spectral method (2003, methodology): “We point out that similar derivations were also used for the Ericksen–Leslie system [42,43] in which case the elastic energy is due to the molecular orientation [23].”
Landau–De Gennes Theory of Nematic Liquid Crystals: the Oseen–Frank Limit and Beyond (2008, background): “There are three main continuum theories for nematic liquid crystals [18].”
Energy Dissipation and Regularity for a Coupled Navier–Stokes and Q-Tensor System (2010, background): “There exist several competing theories that attempt to capture the complexity of nematic liquid crystals, and a comparative discussion and further references are available for instance in [16], [21].”