Liquid Crystals with Variable Degree of Orientation
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This article is published in Archive for Rational Mechanics and Analysis.The article was published on 1991-06-01 and is currently open access. It has received 446 citations till now. The article focuses on the topics: Liquid crystal.read more
Citations
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Metric affine gauge theory of gravity: Field equations, Noether identities, world spinors, and breaking of dilation invariance
TL;DR: In this article, the authors present explicit models for a symmetry breakdown in the cases of the Weyl (or homothetic) group, the SL(4, R), or the GL(4-R) covering subgroup.
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Quasi–incompressible Cahn–Hilliard fluids and topological transitions
John Lowengrub,Lev Truskinovsky +1 more
TL;DR: In this article, a physically motivated regularization of the Euler equations is proposed to allow topological transitions to occur smoothly, where the sharp interface is replaced by a narrow transition layer across which the fluids may mix.
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A diffuse-interface method for simulating two-phase flows of complex fluids
TL;DR: In this paper, the authors proposed a diffuse-interface approach to simulating the flow of two-phase systems of microstructured complex fluids, where the energy law of the system guarantees the existence of a solution.
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Nonparabolic dissipative systems modeling the flow of liquid crystals
Fanghua Lin,Chun Liu +1 more
TL;DR: In this paper, a simplified version of the original Ericksen-Leslie equations for the flow of liquid crystals is studied and several energy laws are derived to prove the global existence of weak solutions and the classical solutions.
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Existence of solutions for the Ericksen-Leslie system
Fanghua Lin,Chun Liu +1 more
TL;DR: In this article, the authors study the general Ericksen-Leslie system, which describes the flow of liquid crystal materials, and establish the dissipation property of the system and prove the global existence of weak solutions.
References
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Book
Theory of elasticity
TL;DR: The theory of the slipline field is used in this article to solve the problem of stable and non-stressed problems in plane strains in a plane-strain scenario.
Book
The physics of liquid crystals
P. G. de Gennes,Richard Alben +1 more
TL;DR: In this paper, the authors define an order parameter statistical theories of the nematic order phenomonological description of the nematic-isotopic mixtures and describe the properties of these mixtures.
Book
Theory of elasticity
TL;DR: The equilibrium of rods and plates Elastic waves Dislocations Thermal conduction and viscosity in solids Mechanics of liquid crystals Index as discussed by the authors The equilibrium of rod and plate elastic waves Elastic waves