A variational problem for nematic liquid crystals with variable degree of orientation

DOI10.1007/BF00375588zbMath0754.76007OpenAlexW2025263506MaRDI QIDQ1189744

Diego Roccato, Victor J. Mizel, Epifanio G. Virga

Publication date: 27 September 1992

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00375588

zbMATH Keywords

Hamilton-Jacobi equationEuler equationsphase plane analysisEricksen's modeldu Bois-Raymond equationFrank's modellocal microstructure

Mathematics Subject Classification ID

Variational methods applied to problems in fluid mechanics (76M30) Liquid crystals (76A15)

Related Items

Asymptotics of minimizers of variational problems involving curl functional ⋮ Line defects in the small elastic constant limit of a three-dimensional Landau-de Gennes model ⋮ On plane defects in nematic liquid crystals with variable degree of orientation ⋮ A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals

Cites Work

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• Disclinations and hedgehogs in nematic liquid crystals with variable degree of orientation
• Regularity of solutions of a degenerate elliptic variational problem
• Liquid crystals with variable degree of orientation
• Weakly Lipschitzian mappings and restricted uniqueness of solutions of ordinary differential equations
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• Differential equations with discontinuous right-hand side