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UID:20250714T210411EDT-70397ldCxd@132.216.98.100
DTSTAMP:20250715T010411Z
DESCRIPTION:Title: Almost sure wellposedness for some nonlinear dispersive 
 equations\n\nAbstract: Nonlinear dispersive equations model wave propagati
 on phenomena for many physical systems\, from water waves to quantum gases
 . For the last few decades\, research on these equations has centered arou
 nd questions on the existence of solutions\, their long time behavior\, an
 d the possibility of singularity formation. Fundamental progress has been 
 made in many settings\, yet in some regimes\, the nonlinear interactions o
 verwhelm the dispersion of the waves\, and standard methods break down.\n
 \nIn recent years\, probabilistic tools have been instrumental in analyzin
 g the behavior of these equations in previously inaccessible regimes.\n\nI
 n this talk\, I will discuss several problems concerning nonlinear wave an
 d dispersive equations with random initial data\, including the energy cri
 tical nonlinear wave and Schroedinger equations\, and derivative nonlinear
  wave equations. I will present several almost sure well-posedness and sca
 ttering results for these equations and contrast the ways in which random 
 data techniques can be exploited in these different contexts.\n\n \n
DTSTART:20190121T190000Z
DTEND:20190121T200000Z
LOCATION:Room 1205\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Dana Mendelson (University of Chicago)
URL:/mathstat/channels/event/dana-mendelson-university
 -chicago-293294
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