2021/10/23 by Sirui Li, Jie Xu, Li, Sirui +1 · 1 citation
Engineering · Materials Science · Physics and Astronomy · #Analysis of PDEs (math.AP) #Characterization and Applications of Magnetic Nanoparticles #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Liquid Crystal Research Advancements #Soft Condensed Matter (cond-mat.soft) #Theoretical and Computational Physics
paper · pdf · doi:10.48550/arxiv.2110.12137
openalex publication_date 2021/10/23 · openalex created_date 2021/11/08 · openalex updated_date 2026/07/28
Starting from a dynamic tensor model about two second-order tensors, we derive the frame hydrodynamics for the biaxial nematic phase using the Hilbert expansion. The coefficients in the frame model are derived from those in the tensor model. The energy dissipation of the tensor model is maintained in the frame model. The model is reduced to the Ericksen--Leslie model if the biaxial bulk energy minimum of the tensor model is reduced to a uniaxial one.