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SUMMARY:Function spaces meet material science: Orlicz-Sobolev nematic elas
 tomers - Bianca Stroffolini (Università degli Studi di Napoli Federico II
   )
DTSTART:20190514T101000Z
DTEND:20190514T105000Z
UID:TALK124381@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION: In the last decade\, models for nematic elastomers and magnet
 oelasticity has been extensively studied.  These models consider both an e
 lastic term where    a polyconvex energy density is composed with   an unk
 nown state variable defined in the deformed configuration\,   and a functi
 onal corresponding to the nematic energy (or the exchange and magnetostati
 c energies   in magnetoelasticity)   where the energy density is integrate
 d over the deformed configuration.   In order to obtain the desired compac
 tness and lower semicontinuity\, one has to face     the regularity requir
 ement that maps create no new surface.  I&#39\;ll discuss that this in fac
 t the case for maps whose  gradients are in an Orlicz class with an integr
 ability   just above the space dimension minus one.    The results present
 ed in this talk have been obtained in collaboration with Duvan Henao (Pont
 ificia Universidad Cat\\&#39\;olica de Chile). 
LOCATION:Seminar Room 1\, Newton Institute
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