Liquid crystals with variable degree of orientation

1991/01/01 by J. L. Ericksen · 449 citations
Biochemistry, Genetics and Molecular Biology · Chemistry · Materials Science · Mathematics · #Acoustics #Artificial intelligence #Complex system #Computer science #Degree (music) #Geometry #Liquid Crystal Research Advancements #Materials science #Mathematical analysis #Mathematics #Orientation (vector space) #Physics #Plant Reproductive Biology #Surfactants and Colloidal Systems #Variable (mathematics)

paper · doi:10.1007/bf00380413

published in Archive for Rational Mechanics and Analysis 113(2), 97-120 (Springer Science+Business Media)

openalex publication_date 1991/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Cited by

• On the energy method for global well–posedness to 2D simplified inertial Ericksen–Leslie's system near equilibrium
• Global Well-posedness for the Three Dimensional Simplified Inertial Ericksen-Leslie Systems Near Equilibrium
• Almost global well-posedness of Ericksen-Leslie's hyperbolic liquid crystal model for small data in two dimensions
• A model of weak viscoelastic nematodynamics
• A time-splitting finite-element approximation for the Ericksen-Leslie equations
• Global existence of weak solution for the 2-D Ericksen-Leslie system
• Symmetry of uniaxial global Landau-de Gennes minimizers in the theory of nematic liquid crystals
• Liquid crystal elastomers and phase transitions in rod networks
• Thermodynamics of MacMillan's liquid crystal model
• Representation of Material Elements and Geometry of Substructural Interactions
• Modeling and Computation of Liquid Crystals
• Shape Instabilities Driven by Topological Defects in Nematic Polymer Networks
• Augmented Lagrangian preconditioners for the Oseen-Frank model of nematic and cholesteric liquid crystals
• Second Order, linear and unconditionally energy stable schemes for a hydrodynamic model of Smectic-A Liquid Crystals
• Stability of half-degree point defect profiles for 2-D nematic liquid crystal
• Improved convergence of Landau-de Gennes minimizers in the vanishing elasticity limit
• Existence of regular solutions to the full Liquid Crystal System
• Radial Symmetry on 3D Shells in the Landau-de Gennes Theory
• A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals
• On well-posedness of Ericksen-Leslie's parabolic-hyperbolic liquid crystal model in compressible flow
• Rigid and deformable bodies in nematic liquid crystals
• Nonexistence of smooth solutions for the general compressible Ericksen -- Leslie equations in three dimensions
• Point defects in 2-D liquid crystals with singular potential: profiles and stability
• Field-induced motion of nematic disclinations
• Energetic variational modeling of active nematics: coupling the Toner-Tu model with ATP hydrolysis
• On the Disclination Lines of Nematic Liquid Crystals
• Global Strong Solutions to Incompressible Ericksen-Leslie System in \mathbb R³
• The Q-tensor Model with Uniaxial Constraint
• Eigenframe discontinuities of the Q-tensor model
• Singular Damped Twist Waves in Chromonic Liquid Crystals
• Asymptotic behavior for a nematic liquid crystal model with different kinematic transport properties
• Stability of the Melting Hedgehog in the Landau–de Gennes Theory of Nematic Liquid Crystals
• Defects of liquid crystals with variable degree of orientation
• On Well-Posedness of Ericksen--Leslie's Hyperbolic Incompressible Liquid Crystal Model
• On the General Ericksen–Leslie System: Parodi’s Relation, Well-Posedness and Stability
• Bulk and surface biaxiality in nematic liquid crystals
• Recent developments of analysis for hydrodynamic flow of nematic liquid crystals. [europepmc]
• Thin-film models for an active gel. [europepmc]
• Macroscopic Internal Variables and Mesoscopic Theory: A Comparison Considering Liquid Crystals. [europepmc]
• Foundational issues, analysis and geometry in continuum mechanics: introduction. [europepmc]
• Energetic Variational Modeling of Active Nematics: Coupling the Toner-Tu Model with ATP Hydrolysis. [europepmc]