BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Benjamin Harrop-Griffiths (UCLA)
DTSTART:20210125T220000Z
DTEND:20210125T230000Z
DTSTAMP:20260423T005656Z
UID:OARS/11
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OARS/11/">Sh
 arp well-posedness for the cubic NLS and mKdV on the line</a>\nby Benjamin
  Harrop-Griffiths (UCLA) as part of OARS Online Analysis Research Seminar\
 n\n\nAbstract\nThe 1d cubic nonlinear Schrödinger equation (NLS) and the 
 modified Korteweg-de Vries equation (mKdV) are two of the most intensively
  studied nonlinear dispersive equations. Not only are they important physi
 cal models\, arising\, for example\, from the study of fluid dynamics and 
 nonlinear optics\, but they also have a rich mathematical structure: they 
 are both members of the ZS-AKNS hierarchy of integrable equations. In this
  talk\, we discuss an optimal well-posedness result for the cubic NLS and 
 mKdV on the line. An essential ingredient in our arguments is the demonstr
 ation of a local smoothing effect for both equations\, which in turn rests
  on the discovery of a one-parameter family of microscopic conservation la
 ws. This is joint work with Rowan Killip and Monica Vișan.\n
LOCATION:https://researchseminars.org/talk/OARS/11/
END:VEVENT
END:VCALENDAR