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Steady state solutions of the Ericksen-Leslie model
Beck, Katheryn
Beck, Katheryn
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Abstract
In this talk we consider nematic liquid crystal placed between two parallel plates. We investigate this set-up by use of the Ericksen-Leslie model with certain boundary conditions to describe this physical system. This model provides us with very rich phenomena. We will first look into steady states in the system and then study the stability of these steady states using numerical methods. These steady states fall into a variety of cases which the study of shows a variety of dynamics including the presence of a saddle node bifurcation and further dynamics of the unstable states shows the evidence of the existence of heteroclinic orbit.
Description
These are the slides from a presentation given at AMS Sectional on 09/14/2024.
Date
2024-09-14
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University of Kansas
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Keywords
Nematic Liquid Crystals, Partial Differential Equations, Dynamical Systems, Shear Flow