BEGIN:VCALENDAR
VERSION:2.0
PRODID:icalendar-ruby
CALSCALE:GREGORIAN
X-WR-CALNAME:PDE/Analysis Seminar
X-WR-TIMEZONE:Eastern Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260719T162524Z
UID:tag:localist.com\,2008:EventInstance_42137668492459
DTSTART:20230314T200000Z
DTEND:20230314T210000Z
DESCRIPTION:Featured Speaker:  Nicolas Camps (University of Nantes)\n\nTitl
 e:  Some Probabilistic Approaches To Nonlinear Schrodinger Equations\n\nAb
 stract:  Following the seminal work of Bourgain (1996)\, and Burq\, Tzvetk
 ov (2008)\, a statistical approach to nonlinear dispersive equations has d
 eveloped in various contexts in order to generate full measure sets of ini
 tial data that lead to strong solutions in certain regimes where instabili
 ties are known to occur. We first present some general aspects of the prob
 abilistic Cauchy theory\, as well as a result obtained with Louise Gassot 
 concerning a class of pathological initial data. We prove that the set of 
 initial data that undergoes norm inflation contains a dense G-delta set. T
 he second part of the presentation is devoted to the case of quasi-linear 
 regimes\, where the standard probabilistic Cauchy theory fails. We present
  recent developments based on a paracontrolled ansatz due to Bringmann (20
 19) and Deng\, Nahmod\, Yue (2019-2020)\, which we exploit to prove almost
  sure local well- posedness for a class of weakly dispersive equations. Th
 is last result is obtained in collaboration with Louise Gassot and Slim Ib
 rahim.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 2-136
SUMMARY:PDE/Analysis Seminar
URL;VALUE=URI:https://calendar.mit.edu/event/pdeanalysis_seminar_1155
CATEGORIES:Conferences/Seminars/Lectures
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