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SUMMARY:Itai Shafrir (Technion\, Israel Institute of Technology\, Israel.)
DTSTART:20201105T093000Z
DTEND:20201105T103000Z
DTSTAMP:20260423T005735Z
UID:WOPARA/14
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WOPARA/14/">
 Minimizers of a variational problem for nematic liquid crystals with varia
 ble degree of orientation in two dimensions</a>\nby Itai Shafrir (Technion
 \, Israel Institute of Technology\, Israel.) as part of Webinar on PDE and
  related areas\n\n\nAbstract\nWe study the asymptotic behavior\, when k→
 ∞\, of the minimizers of the energy  Gk(u)=∫_Ω((k−1)|(∇|u|)|^2+|
 ∇u|^2)\, over the class of maps u∈H^1(Ω\, R2) satisfying the boundar
 y condition u=g on ∂Ω\,  where Ω is a smooth\, bounded and simply co
 nnected domain in R^2 and g:∂Ω→S^1.  The motivation comes from a sim
 plified version of Ericksen model for nematic liquid crystals.  We will pr
 esent similarities and differences with respect to the analog problem for 
 the Ginzburg-Landau energy.\n\nBased on a joint work with Dmitry Golovaty.
 \n
LOCATION:https://researchseminars.org/talk/WOPARA/14/
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