On regularity for an Ericksen‐Leslie's parabolic‐hyperbolic liquid crystals model

DOI10.1002/zamm.201700080OpenAlexW2805400471MaRDI QIDQ6086256

Miao-chao Chen, Qi-lin Liu, Sheng-qi Lu

Publication date: 12 December 2023

Published in: ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/zamm.201700080

zbMATH Keywords

regularity criterionwave mapliquid crystals

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Nonlinear parabolic equations (35K55) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15) Yang-Mills and other gauge theories in mechanics of particles and systems (70S15)

Related Items (1)

Mathematical modeling of inhomogeneous electric field impact on a liquid crystal layer

Cites Work

• Regularity criterion for the wave map in a bounded domain
• Liquid crystals with variable degree of orientation
• Large-time behavior of liquid crystal flows with a trigonometric condition in two dimensions
• Asymptotics for the time dependent Ginzburg-Landau equations
• The critical Sobolev inequalities in Besov spaces and regularity criterion to some semi-linear evolution equations
• Global well-posedness and twist-wave solutions for the inertial Qian-Sheng model of liquid crystals
• Uniform local well-posedness for an Ericksen-Leslie's density-dependent parabolic-hyperbolic liquid crystals model
• Commutator estimates and the euler and navier-stokes equations
• On a hyperbolic system arising in liquid crystals modeling
• On well-posedness of Ericksen–Leslie’s parabolic–hyperbolic liquid crystal model in compressible flow
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