Existence and multiplicity of radial solutions describing the equilibrium of nematic liquid crystals in annular domains

DOI10.1006/jmaa.2000.6780zbMath1028.76003OpenAlexW1965507615MaRDI QIDQ1977788

Tsorng-Whay Pan

Publication date: 8 May 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6780

zbMATH Keywords

stabilityexistencemultiplicityEuler-Lagrange equationsradial solutionsannular domainEricksen-Leslie theorybifurcation analysisequilibrium of nematic liquid crystals

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Statistical mechanics of random media, disordered materials (including liquid crystals and spin glasses) (82D30) Liquid crystals (76A15) Rotation in hydrodynamic stability (76E07)

Related Items (3)

Nematic Equilibria on a Two‐Dimensional Annulus ⋮ Revisiting the Two-Dimensional Defect-Free Azimuthal Nematic Equilibrium on an Annulus ⋮ Stationary shear flows of nematic liquid crystals: a comprehensive study via Ericksen-Leslie model

Cites Work

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• Harmonic maps with defects
• Global bifurcation of steady-state solutions
• Bifurcation analysis of minimizing harmonic maps describing the equilibrium of nematic phases between cylinders
• On the existence of infinitely many limit points on the solution branch of planar shear flow of nematic liquid crystals
• Bifurcation, perturbation of simple eigenvalues, and linearized stability
• Bifurcation from simple eigenvalues
• Propagation of elastic waves in liquid crystals

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