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SUMMARY:Torus vs split solutions for the Landau de Gennes model
DTSTART:20250616T120000Z
DTEND:20250616T130000Z
DTSTAMP:20260507T130200Z
UID:indico-event-14050@indico.math.cnrs.fr
DESCRIPTION:Speakers: Adriano Pisante (U di Roma La Sapienza)\n\nWe report
  on some recent works (in collaboration with F. Dipasquale and V.Millot) a
 bout the study of global minimizers of a continuum Landau-De Gennes energy
  functional for nematic liquid crystals in three-dimensional domains. Firs
 t\, we discuss absence of singularities for minimizing configurations unde
 r norm constraint\, as well as absence of the isotropic phase for the unco
 nstrained minimizers\, together with the topological character of the rela
 ted biaxial escape phenomenon. Then\, we discuss the previous properties u
 nder both the norm and the axial symmetry constraints\, showing that in th
 is case only partial regularity is available\, away from a finite set loca
 ted on the symmetry axis where we describe precisely the asymptotic profil
 e around singular points. Moreover\, we discuss presence/absence/coexisten
 ce of smooth and singular minimisers  in a fixed symmetric domain as the 
 boundary data vary. Finally\, the same properties are investigated under r
 adial anchoring when the domain is suitably deformed. \n\nhttps://indico.
 math.cnrs.fr/event/14050/
LOCATION:Salle Pellos (1R2-203)
URL:https://indico.math.cnrs.fr/event/14050/
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