Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions

DOI10.1016/j.aml.2014.03.014zbMath1314.76012OpenAlexW2029121516MaRDI QIDQ2349280

Zaihong Jiang, Yong Zhou, Tasawar Hayat, Ahmed Alsaedi, Ya-Nan Wang

Publication date: 22 June 2015

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2014.03.014

zbMATH Keywords

global regularityfractional diffusionliquid crystal model

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Liquid crystals (76A15)

Related Items (8)

Stability analysis of a fractional-order epidemics model with multiple equilibriums ⋮ Global regularity of the 2D liquid crystal equations with weak velocity dissipation ⋮ Global regularity of the generalized liquid crystal model with fractional diffusion ⋮ On regularity criteria for the two-dimensional generalized liquid crystal model ⋮ Global existence of solutions to the 2D incompressible generalized liquid crystal flow ⋮ A regularity criterion for the 3D generalized MHD equations ⋮ Global existence of solutions to the 2D incompressible liquid crystal flow with fractional diffusion ⋮ Global existence and temporal decay for the nematic liquid crystal flows

Cites Work

• Unnamed Item
• Global strong solution to the density-dependent 2-D liquid crystal flows
• On global regularity of 2D generalized magnetohydrodynamic equations
• Global Cauchy problem of 2D generalized MHD equations
• Hydrostatic theory of liquid crystals
• A regularity criterion for the nematic liquid crystal flows
• On energetic variational approaches in modeling the nematic liquid crystal flows
• Existence of solutions for the Ericksen-Leslie system
• Global regularity of 2D generalized MHD equations with magnetic diffusion
• Some constitutive equations for liquid crystals
• Well-posedness of the full Ericksen–Leslie model of nematic liquid crystals
• Commutator estimates and the euler and navier-stokes equations
• Viscous flow in smectic A liquid crystals
• Nonparabolic dissipative systems modeling the flow of liquid crystals

This page was built for publication: Global regularity for the incompressible 2D generalized liquid crystal model with fractional diffusions