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SUMMARY:Jaeyoung Byeon (KAIST)
DTSTART:20201109T140000Z
DTEND:20201109T150000Z
DTSTAMP:20260423T052807Z
UID:SNPDEA/10
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/SNPDEA/10/">
 Nonlinear Schrödinger systems with large interaction forces between diffe
 rent components</a>\nby Jaeyoung Byeon (KAIST) as part of "Partial Differe
 ntial Equations and Applications" Webinar\n\n\nAbstract\nThere have been m
 any studies on the asymptotic behavior of low energy solutions for a singl
 e elliptic equation as an involved parameter approaches to a threshold. In
  this case\, the asymptotic behavior depends on a balance between the diff
 erential operator and nonlinearity\, and their interaction with a geometry
  of a underlying domain. On the other hand\, even though the elliptic syst
 ems coming from nonlinear Schrödinger systems have a simple looking inter
 action terms\, even the construction of nontrivial low energy solutions is
  not easy in general since the Morse indices of the nontrivial solutions c
 ould be high depending types of interaction terms.  \nWhen the interaction
  forces  between different components are very large\, we believe that a r
 elatively simpler structure we can see. Nevertheless\, a wide variety of t
 heir asymptotic behavior we could imagine as various kinds of combination 
 for the interaction between components might produce various effects on th
 e asymptotic behavior. The general study for elliptic systems with large i
 nteraction forces is quite challenging.\nIn this talk\, I would like to in
 troduce my recent studies with collaborators on three components systemsas
  basic steps to get general understanding for elliptic systems with large 
 interaction forces.\n
LOCATION:https://researchseminars.org/talk/SNPDEA/10/
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