Well-posedness of the full Ericksen-Leslie system in bounded domains

DOI10.3934/DCDSB.2024031MaRDI QIDQ6614220

Huaijie Wang

Publication date: 7 October 2024

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

zbMATH Keywords

local well-posednessliquid crystalsEricksen-Leslie systeminitial boundary problemOseen-Frank theory

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Stokes and related (Oseen, etc.) flows (76D07) Navier-Stokes equations (35Q30) Liquid crystals (76A15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Strong solutions to PDEs (35D35)

Cites Work

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• Hydrostatic theory of liquid crystals
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• On the initial boundary value problem of a Navier-Stokes/\(Q\)-tensor model for liquid crystals
• On the general Ericksen-Leslie system: Parodi's relation, well-posedness and stability
• Well-posedness of the Ericksen-Leslie system
• Some constitutive equations for liquid crystals
• Well-posedness of a fully coupled Navier-Stokes/\(\mathrm Q\)-tensor system with inhomogeneous boundary data
• Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three
• Convergence of the Ginzburg-Landau Approximation for the Ericksen-Leslie System
• SOME CONSTITUTIVE EQUATIONS FOR ANISOTROPIC FLUIDS
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions II

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