Global regularity for the 2D liquid crystal model with mixed partial viscosity

DOI10.1142/S0219530514500481zbMath1314.35081OpenAlexW2040844089MaRDI QIDQ5248156

Gen Nakamura, Jishan Fan, Yong Zhou, Tasawar Hayat, Faris Alzahrani

Publication date: 27 April 2015

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530514500481

zbMATH Keywords

regularity criterionliquid crystalpartial viscosity

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Liquid crystals (76A15) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Euler-Poisson-Darboux equations (35Q05) Strong solutions to PDEs (35D35)

Related Items (9)

Space-time decay estimates of solutions to liquid crystal system in \(\mathbb{R}^3\) ⋮ A regularity criterion for a 3D density-dependent incompressible liquid crystals model ⋮ Global existence of weak solution and regularity criteria for the 2D Bénard system with partial dissipation ⋮ Global well-posedness for the 2D Cahn-Hilliard-Boussinesq and a related system on bounded domains ⋮ Uniform local well-posedness for an Ericksen-Leslie's density-dependent parabolic-hyperbolic liquid crystals model ⋮ On regularity criteria for the two-dimensional generalized liquid crystal model ⋮ Global existence of solutions to the 2D incompressible generalized liquid crystal flow ⋮ Regularity criteria for some simplified non-isothermal models for nematic liquid crystals ⋮ Strong solutions to the density-dependent incompressible nematic liquid crystal flows with heat effect

Cites Work

• Regularity criteria for the Euler-Landau-Lifshitz system
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• A regularity criterion for the 2D MHD system with zero magnetic diffusivity
• Theory of function spaces
• Existence of solutions for the Ericksen-Leslie system
• On critical cases of Sobolev's inequalities
• Regularity criteria for the 2D MHD system with horizontal dissipation and horizontal magnetic diffusion
• Global regularity for the 2D Boussinesq equations with partial viscosity terms
• Some constitutive equations for liquid crystals
• \(H^p\) spaces of several variables
• Nonlinear theory of defects in nematic liquid crystals; Phase transition and flow phenomena
• A note on limiting cases of sobolev embeddings and convolution inequalities
• Nonlinear Schrödinger evolution equations
• Global solutions for the 2D NS–CH model for a two-phase flow of viscous, incompressible fluids with mixed partial viscosity and mobility
• Nonparabolic dissipative systems modeling the flow of liquid crystals

This page was built for publication: Global regularity for the 2D liquid crystal model with mixed partial viscosity