Global solution of nematic liquid crystals models

DOI10.1016/S1631-073X(02)02620-1zbMath1022.76005OpenAlexW2093324861MaRDI QIDQ1565936

Francisco Guillén-González, Marko A. Rojas-Medar

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02620-1

zbMATH Keywords

existenceglobal weak solutionpenalization methodnematic liquid crystalEricksen-Leslie modelcompactness propertygradient of director field

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)

Related Items (6)

Mixed formulation, approximation and decoupling algorithm for a penalized nematic liquid crystals model ⋮ Martingale solutions of nematic liquid crystals driven by pure jump noise in the Marcus canonical form ⋮ Pullback attractors of the two-dimensional non-autonomous simplified Ericksen-Leslie system for nematic liquid crystal flows ⋮ Some results on the penalised nematic liquid crystals driven by multiplicative noise: weak solution and maximum principle ⋮ Sufficient conditions for regularity and uniqueness of a 3D nematic liquid crystal model ⋮ Strong solution to stochastic penalised nematic liquid crystals model driven by multiplicative Gaussian noise

Cites Work

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• Well-posedness of the full Ericksen–Leslie model of nematic liquid crystals
• WELL-POSEDNESS AND GLOBAL ATTRACTORS FOR LIQUID CRYSTALS ON RIEMANNIAN MANIFOLDS
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• Nonparabolic dissipative systems modeling the flow of liquid crystals

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