Global well-posedness for the three dimensional simplified inertial Ericksen-Leslie systems near equilibrium

2020/02/20 by Yuan Cai, Wei Wang · 3 citations
Mathematics · #Navier-Stokes equation solutions #Geometric Analysis and Curvature Flows #Advanced Mathematical Physics Problems

paper · doi:10.1016/j.jfa.2020.108521

Citations

• On the formation of singularities in the critical O (3) σ -model
• On almost global existence for nonrelativistic wave equations in 3D
• Weak solutions and development of singularities of the SU(2) σ‐model
• 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 of Incompressible Elastodynamics in Two Dimensions

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• Almost global well-posedness of Ericksen-Leslie's hyperbolic liquid crystal model for small data in two dimensions
• Modeling and Computation of Liquid Crystals
• Global strong solutions to the frame hydrodynamics for biaxial nematic phases