Global strong solution for the incompressible flow of liquid crystals with vacuum in dimension two

DOI10.3934/dcds.2017211zbMath1364.35242OpenAlexW2623583686MaRDI QIDQ2357565

Xiao-Li Li

Publication date: 14 June 2017

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

Full work available at URL: https://doi.org/10.3934/dcds.2017211

zbMATH Keywords

vacuumstrong solutionexistence and uniquenessliquid crystalsdensity-dependentglobalincompressible

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Navier-Stokes equations (35Q30) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (6)

On the Cauchy problem of 3D nonhomogeneous incompressible nematic liquid crystal flows with vacuum ⋮ Global regularity to the 2D non-isothermal inhomogeneous nematic liquid crystal flows ⋮ Global existence and exponential decay of strong solutions to the 2D density-dependent nematic liquid crystal flows with vacuum ⋮ Global regularity to the 2D inhomogeneous liquid crystal flows with large initial data and vacuum ⋮ A remark on global strong solution of two‐dimensional inhomogeneous nematic liquid crystal flows in a bounded domain ⋮ Hydrodynamics of Anisotropic Liquid Crystals in an Applied Magnetic Field

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