Singularity for a nonlinear degenerate hyperbolic-parabolic coupled system arising from nematic liquid crystals

DOI10.1515/anona-2022-0268zbMath1503.35006OpenAlexW4309418233WikidataQ115514504 ScholiaQ115514504MaRDI QIDQ2107141

Yanbo Hu

Publication date: 1 December 2022

Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/anona-2022-0268

zbMATH Keywords

singularitymethod of characteristicshyperbolic-parabolic coupled systemPoiseuille flow of nematic liquid crystals

Mathematics Subject Classification ID

Liquid crystals (76A15) Singularity in context of PDEs (35A21) Blow-up in context of PDEs (35B44) Systems of nonlinear higher-order PDEs (35G50)

Cites Work

• Unnamed Item
• Generic regularity of conservative solutions to a nonlinear wave equation
• Singularity and existence for a wave system of nematic liquid crystals
• Conservative solutions to a nonlinear variational wave equation
• Conservative solutions to a system of variational wave equations of nematic liquid crystals
• Weak solutions to a nonlinear variational wave equation
• Uniqueness and regularity of conservative solution to a wave system modeling nematic liquid crystal
• Existence of smooth solutions to a one-dimensional nonlinear degenerate variational wave equation
• Lipschitz metrics for a class of nonlinear wave equations
• Weak solutions to a nonlinear variational wave equation with general data
• On the Cauchy problem for a nonlinear variational wave equation with degenerate initial data
• Singularities of a variational wave equation
• Poiseuille flow of nematic liquid crystals via the full Ericksen-Leslie model
• Conservative solutions to a one-dimensional nonlinear variational wave equation
• Unique conservative solutions to a variational wave equation
• Some constitutive equations for liquid crystals
• BLOW UP OF SOLUTIONS TO THE SECOND SOUND EQUATION IN ONE SPACE DIMENSION
• LOCAL EXISTENCE AND UNIQUENESS THEORY FOR THE SECOND SOUND EQUATION IN ONE SPACE DIMENSION
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• Dynamics of Director Fields
• Liquid Crystal Flow: Dynamic and Static Configurations
• On Well-Posedness of Ericksen--Leslie's Hyperbolic Incompressible Liquid Crystal Model
• On well-posedness of Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow
• Energy Conservative Solutions to a One‐Dimensional Full Variational Wave System

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