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SUMMARY:Apala Majumdar (University of Strathclyde)
DTSTART:20210617T130000Z
DTEND:20210617T140000Z
DTSTAMP:20260423T035726Z
UID:SNPDEA/32
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNPDEA/32/">
 PDE problems in the Landau-de Gennes theory for Nematic Liquid Crystals</a
 >\nby Apala Majumdar (University of Strathclyde) as part of "Partial Diffe
 rential Equations and Applications" Webinar\n\n\nAbstract\nNematic liquid 
 crystals are classical examples of partially ordered materials that combin
 e fluidity with the order of crystalline solids. Nematics have long-range 
 orientational order i.e. they are directional materials with special direc
 tions\, referred to as directors. The Landau-de Gennes theory is one of th
 e most celebrated and powerful continuum theories for nematic liquid cryst
 als. In this talk\, we review the mathematical framework for the Landau-de
  Gennes theory with emphasis on the Landau-de Gennes free energy and the a
 ssociated Euler-Lagrange equations\, which are typically a system of coupl
 ed\, nonlinear partial differential equations. We review some recent resul
 ts for boundary-value problems in the Landau-de Gennes theory\, including 
 results on the multiplicity\, defect sets and asymptotic analysis of energ
 y-minimizing solutions. We also describe the physical relevance of these s
 olutions\, followed by case studies of applications in the physical scienc
 es and industry.\n
LOCATION:https://researchseminars.org/talk/SNPDEA/32/
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