The connection between the dynamical properties of 3D systems and the image of the energy-Casimir mapping

M Xu, S Shi, K Huang - Discrete and Continuous Dynamical …, 2024 - aimsciences.org
We investigate the connection between the dynamical properties of a class of 3D systems
and the geometric characteristics of the image of the energy-Casimir mapping. By examining …

Differential Galoisian approach to Jacobi integrability of general analytic dynamical systems and its application

K Huang, S Shi, S Yang - Science China Mathematics, 2023 - Springer
Abstract The Morales-Ramis theory provides an effective and powerful non-integrability
criterion for complex analytic Hamiltonian systems via the differential Galoisian obstruction …

On the Full Ericksen-Leslie Model of Nematic Liquid Crystals

M Sofiani - 2024 - search.proquest.com
In this manuscript, we study the Cauchy problem of Poiseuille flow of the hyperbolic-
parabolic full Ericksen-Leslie model for nematic liquid crystals and the boundary value …

Modelling and simulation of chiral and non-chiral nematic liquid crystals between cylinders

A Nikzad - 2022 - open.library.ubc.ca
Liquid crystallinity defines a state between a crystal solid and a liquid. Liquid Crystal (LC)
molecules have the flowing properties of liquids while they keep the orientational order of …