Spherically symmetric solutions to compressible hydrodynamic flow of liquid crystals in \(N\) dimensions

DOI10.1007/s11401-012-0706-3zbMath1256.35082OpenAlexW2052610982MaRDI QIDQ692766

Shijin Ding, Jin Rui Huang

Publication date: 6 December 2012

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11401-012-0706-3

zbMATH Keywords

global solutionsliquid crystalscompressible hydrodynamic flow

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Symmetries, invariants, etc. in context of PDEs (35B06) Strong solutions to PDEs (35D35)

Related Items (6)

Exponential stability for the compressible nematic liquid crystal flow with large initial data ⋮ Global solution to the compressible non-isothermal nematic liquid crystal equations with constant heat conductivity and vacuum ⋮ On the vanishing elastic limit of compressible liquid crystal material flow ⋮ Radially symmetric solutions for Navier–Stokes–Smoluchowski system: Global existence in unbounded annular domain and center singularity ⋮ Global strong solutions to the one-dimensional full compressible liquid crystal equations with temperature-dependent heat conductivity ⋮ On center singularity for compressible spherically symmetric nematic liquid crystal flows

Cites Work

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• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
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• Nonparabolic dissipative systems modeling the flow of liquid crystals
• SOME CONSTITUTIVE EQUATIONS FOR ANISOTROPIC FLUIDS
• On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations

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