Variational Theories for Liquid Crystals

By E. Virga. 2018

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Conservative Solutions to a Nonlinear Variational Wave Equation (2005, background): “8), and on the parabolic flow associated with it, see [3, 9, 10, 16, 22, 36] and references therein.”
Introduction to Q-tensor theory (2014, background): “The problems of solving the Euler angle governing equations will be removed with this approach (for reference see for example [1, 2]).”
Landau–De Gennes Theory of Nematic Liquid Crystals: the Oseen–Frank Limit and Beyond (2008, methodology): “It follows from standard results in harmonic maps [32] that Q has at most a finite number of isolated point singularities (points where n has singularities).”
Equilibrium order parameters of nematic liquid crystals in the Landau-de Gennes theory (2008, background): “orresponding bifurcation diagrams. A widely-used continuum theory for spatially inhomogeneous nematic liquid crystal conﬁgurations is the continuum Landau-De Gennes theory for nematic liquid crystals [3, 7]. The liquid crystal conﬁguration is described by a symmetric, traceless 3 × 3 matrix, Q, with”
Introduction to liquid crystals (2018, unknown): “[9].”