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Multistability in planar liquid crystal wells
Published 2012“…A planar bistable liquid crystal device, reported in Tsakonas, is modeled within the Landau-de Gennes theory for nematic liquid crystals. …”
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The dynamics of bistable liquid crystal wells
Published 2011“…A planar bistable liquid crystal device, reported in Tsakonas et al. [27], is modelled within the Landau-de Gennes theory for nematic liquid crystals. …”
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Multistability in planar liquid crystal wells.
Published 2012“…A planar bistable liquid crystal device, reported in Tsakonas et al. [Appl. …”
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The Mathematics of Liquid Crystals: Analysis, Computation and Applications
Published 2012Journal article -
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Liquid Crystal Theory and Modelling Discussion Meeting
Published 2010“…In this report, we describe the main highlights of the international, multidisciplinary "Liquid Crystal Theory and Modelling, Discussion Meeting'' held in Oxford from the 29th-30th October 2009. …”
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Transitions through critical temperatures in nematic liquid crystals.
Published 2013“…We obtain estimates for critical nematic liquid crystal (LC) temperatures under the action of a slowly varying temperature-dependent control variable. …”
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Global existence and regularity of solutions for active liquid crystals
Published 2017“…We study the hydrodynamics of active liquid crystals in the Beris–Edwards hydrodynamic framework with the Landau–de Gennes Q-tensor order parameter to describe liquid crystalline ordering. …”
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Colloidal liquid crystals in rectangular confinement: theory and experiment.
Published 2014“…We theoretically and experimentally study nematic liquid crystal equilibria within shallow rectangular wells. …”
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Transitions through Critical Temperatures in Nematic Liquid Crystals
Published 2012“…We obtain ‘dynamic’ estimates for critical nematic liquid crystal (LC) temperatures with a slowly varying temperature-dependent control variable. …”
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From molecular to continuum modelling of bistable liquid crystal devices
Published 2017Journal article -
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Global weak solutions for the compressive active liquid crystal system
Published 2018“…We study the hydrodynamics of compressible flows of active liquid crystals in the Beris--Edwards hydrodynamics framework, using the Landau--de Gennes $Q$-tensor order parameter to describe liquid crystalline ordering. …”
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13
Remarks on the Q-tensor model for equilibrium liquid crystal configurations
Published 2007“…We study minimizers of the Landau-De Gennes energy functional for liquid crystals in the biaxial and uniaxial cases. We derive the corresponding equilibrium equations and make predictions about the equilibrium order parameters. …”
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The Landau-de Gennes theory of nematic liquid crystals: Uniaxiality versus Biaxiality
Published 2010“…We study small energy solutions within the Landau-de Gennes theory for nematic liquid crystals, subject to Dirichlet boundary conditions. …”
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17
Equilibrium order parameters of nematic liquid crystals in the Landau-De Gennes theory
Published 2009“… We study equilibrium liquid crystal configurations in three-dimensional domains, within the continuum Landau-De Gennes theory. …”
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18
Landau-De Gennes theory of nematic liquid crystals: the Oseen-Frank limit and beyond
Published 2009“… We study global minimizers of a continuum Landau-De Gennes energy functional for nematic liquid crystals, in three-dimensional domains, subject to uniaxial boundary conditions. …”
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Symmetry of uniaxial global Landau-de Gennes minimizers in the theory of nematic liquid crystals
Published 2011“…We extend the recent radial symmetry results by Pisante [23] and Millot & Pisante [19] (who show that all entire solutions of the vector-valued Ginzburg-Landau equations in superconductivity theory, in the three-dimensional space, are comprised of the well-known class of equivariant solutions) to the Landau-de Gennes framework in the theory of nematic liquid crystals. In the low temperature limit, we obtain a characterization of global Landau-de Gennes minimizers, in the restricted class of uniaxial tensors, in terms of the well-known radial-hedgehog solution. …”
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20
Tangent unit-vector fields: nonabelian homotopy invariants and the Dirichlet energy
Published 2009“…These results have applications for the theoretical modelling of nematic liquid crystal devices. …”
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