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UID:20260829T002531EDT-3939APzks7@132.216.98.100
DTSTAMP:20260829T042531Z
DESCRIPTION:Title: Some Problems On Harmonic Maps from B^3 to S^2.\n\n\n	Abs
 tract: Harmonic map equations are an elliptic PDE system arising from the 
 minimisation of Dirichlet energies between two manifolds. In this talk we 
 present some recent works concerning the symmetry and stability of harmoni
 c maps. We construct a new family of ''twisting'' examples of harmonic map
 s and discuss the existence\, uniqueness and regularity issues. In particu
 lar\, we characterise the singularities of minimising general axially symm
 etric harmonic maps\, and construct non-minimising general axially symmetr
 ic harmonic maps with arbitrary 0- or 1-dimensional singular sets on the s
 ymmetry axis. Moreover\, we prove the stability of harmonic maps from $\ma
 thbb{B}^3$ to $\mathbb{S}^2$ under $W^{1\,p}$-perturbations of boundary da
 ta for $p>=2$. (Joint work with Prof. Robert Hardt.)\n
DTSTART:20190315T173000Z
DTEND:20190315T183000Z
LOCATION:Room 1104\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Siran Li (CRM\, McGill)
URL:https://www.mcgill.ca/mathstat/channels/event/siran-li-crm-mcgill-29520
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