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DTSTAMP:20260717T123551Z
SUMMARY:G. Kitavtsev: Liquid crystal defects in the Landau-de Gennes theory
 -beyond the one-constant approx.
DESCRIPTION:In this talk the two-dimensional Landau-de Gennes energy with s
 everal elastic constants\, subject to general k-radial symmetric boundary 
 conditions\, will be analysed. It will be shown that for generic elastic c
 onstants the critical points consistent with the symmetry of the boundary 
 conditions exist only in the case k=2. In this case one can identify three
  types of radial profiles: with two\, three of full five components. Next\
 , numerical results on domains of existence and stability of these radial 
 solutions as well as of certain non-radial ones\, so called two 1/2-defect
 s solutions\, will be collectively presented and discussed on the correspo
 nding bifurcation diagrams in two cases: the usual case when the bulk ener
 gy vanishes on a uniaxial set of co-dimension 3\, and degenerate one when 
 it vanishes on a biaxial set of co-dimension 1. In the final part of the t
 alkdifferent paths for emergency of non-radially symmetric solutions and t
 heir corresponding analytical structure in 2D as well as 3D cases will be 
 discussed. These results is a joint work with Jonathan Robbins\, Valery Sl
 astikov and Arghir Zarnescu.
URL:https://www.imperial.ac.uk/events/100971/g-kitavtsev-liquid-crystal-def
 ects-in-the-landau-de-gennes-theory-beyond-the-one-constant-approx/
DTSTART;TZID=Europe/London:20170214T160000
DTEND;TZID=Europe/London:20170214T170000
LOCATION:United Kingdom
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DTSTART:20170214T160000
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