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X-WR-CALNAME:Webnotice (Computational Mathematics)
X-WR-CALDESC:Webnotice (Computational Mathematics) at University of Waterloo
X-PUBLISHED-TTL:PT60M
PRODID:-//UW-Webnotice/NONSGML 0.1//EN
VERSION:2.0
BEGIN:VEVENT
DTSTAMP:20211001T150000Z
UID:2021_d467571bab09d7957e44a0c88b394d10.wnotice@math.uwaterloo.ca
DTSTART:20211001T150000Z
DTEND:20211001T160000Z
SUMMARY:Finite-Element Modeling of Liquid Crystal Equilibria (Colloquium)
LOCATION:Zoom: https://uwaterloo.zoom.us/j/91855443317?pwd=Yi9NendMcDZjRkg3YnN6SndmQnJyUT09
DESCRIPTION:Finite-Element Modeling of Liquid Crystal Equilibria\nScott MacLachlan, Department of Mathematics and Statistics, Memorial University of Newfoundland and https://www.math.mun.ca/~smaclachlan/\n\nNumerical simulation tools for fluid and solid mechanics are often based on the discretisation of coupled systems of partial differential equations, which can easily be identified in terms of physical conservation laws. In contrast, equilibrium configurations of many liquid crystal phases are more naturally described by the first-order optimality conditions of constrained free-energy functionals. In this talk, I will present a variational finite-element approach for computing liquid crystal equilibria, and demonstrate its use for both nematic (rod-like) and smectic (soap-like) liquid crystals. As the main scientific and engineering interest in liquid crystals comes from their ability to exhibit multiple distinct stable equilibrium states, I will discuss the combination of this framework with a nonlinear deflation technique that allows discovery of the energy landscapes for these problems.
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