Defects in Liquid Crystal Flows

DOI10.1137/21M1396010MaRDI QIDQ5065453

Fang-Hua Lin, Xianpeng Hu, Zai-Hui Gan

Publication date: 21 March 2022

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

dynamical propertiesaveraged velocityGinzburg-Landau vortices

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Liquid crystals (76A15) Turbulence (76F99) Viscous vortex flows (76D17) Ginzburg-Landau equations (35Q56)

Cites Work

• Unnamed Item
• Transport equation and Cauchy problem for BV vector fields
• Ordinary differential equations, transport theory and Sobolev spaces
• Liquid crystal flows in two dimensions
• Regularity results for two-dimensional flows of multiphase viscous fluids
• Dynamics of Ginzburg-Landau vortices
• The anisotropic Lagrangian averaged Euler and Navier-Stokes equations
• Partial regularity of the dynamic system modeling the flow of liquid crystals
• Concentration-cancellation in the Ericksen-Leslie model
• Finite time blowup for an averaged three-dimensional Navier-Stokes equation
• Global Existence of Weak Solutions of the Nematic Liquid Crystal Flow in Dimension Three
• Complex Ginzburg-Landau equations and dynamics of vortices, filaments, and codimension-2 submanifolds
• Nonparabolic dissipative systems modeling the flow of liquid crystals
• Some dynamical properties of Ginzburg-Landau vortices
• Ginzburg-Landau vortices
• The three dimensional viscous Camassa-Holm equations, and their relation to the Navier-Stokes equations and turbulence theory

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