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SUMMARY:Thermodynamics\, energetics and regularity for a De Gennes liquid 
 crystal system - Arghir Zarnescu (Sussex)
DTSTART:20130304T150000Z
DTEND:20130304T160000Z
UID:TALK42872@talks.cam.ac.uk
CONTACT:Filip Rindler
DESCRIPTION:We present a thermodynamically consistent  model describing th
 e time evolution of nematic liquid crystals in the framework of DeGennes Q
 -tensor theory. The thermal effects are present through the component of t
 he free energy that accounts for intermolecular interactions. We identify 
 the apriori estimates  and construct global-in-time weak solutions for arb
 itrary physically relevant initial data.\nIn the second part of the talk\,
  and for the case when the temperature is ignored\, we prove global regula
 rity in 2D and estimates on \nthe rate of increase of the high norms.\nThe
  first part is joint work with E. Feireisl\, E. Rocca and G. Schimperna\, 
 while the second part is joint work with M. Paicu.
LOCATION:CMS\, MR13
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