Almost global well-posedness of Ericksen-Leslie's hyperbolic liquid crystal model for small data in two dimensions

2025/02/10 by Jiaxi Huang, Ning Jiang, Lifeng Zhao · 1 citation
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Navier-Stokes equation solutions #Nonlinear Waves and Solitons

paper · doi:10.1016/j.jfa.2025.110858

Citations

• On almost global existence for nonrelativistic wave equations in 3D
• Almost global existence for 2-D incompressible isotropic elastodynamics
• Some constitutive equations for liquid crystals
• The null condition for quasilinear wave equations in two space dimensions I
• Renormalization and blow up for charge one equivariant critical wave maps
• Space‐time estimates for null forms and the local existence theorem
• Liquid crystals with variable degree of orientation
• Conservative Solutions to a System of Variational Wave Equations of Nematic Liquid Crystals
• Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium
• Global Well‐Posedness of Incompressible Elastodynamics in Two Dimensions

Cited by

• Global strong solutions to the frame hydrodynamics for biaxial nematic phases