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:20260617T074904Z
UID:tag:localist.com\,2008:EventInstance_42137543752594
DTSTART:20230214T210000Z
DTEND:20230214T220000Z
DESCRIPTION:Featured Speaker:  Gonzalo Cao Labora (MIT)\n\nTitle:  SMOOTH I
 MPLODING SOLUTIONS FOR 3D COMPRESSIBLE FLUIDS\n\nAbstract:  \n\n     We wi
 ll talk about singularity formation for the 3D isentropic compressible Eul
 er and Navier-Stokes equations for ideal gases. These equations describe t
 he motion of a compressible ideal gas\, which is characterized by a parame
 ter called adiabatic constant. Finite time singularities for generic adiab
 atic constants were found in the recent work of Merle\, Raphaël\, Rodnian
 ski and Szeftel.\n\n     We will construct a new family of profiles corres
 ponding to the largest possible self-similar exponent. In particular\, thi
 s allows us to drop the genericity assumption and construct smooth self-si
 milar profiles for all values of the adiabatic constant. This provides the
  first known smooth self-similar profile for monoatomic gases. We also pre
 sent a different stability analysis around those profiles that allows us t
 o show singularity formation for initial data with constant density at inf
 inity. These results are joint work with Tristan Buckmaster and Javier Gó
 mez-Serrano.
GEO:42.358262;-71.090045
LOCATION:Building 2\, 2-136
SUMMARY:PDE/Analysis Seminar
URL;VALUE=URI:https://calendar.mit.edu/event/pdeanalysis_seminar_8250
CATEGORIES:Conferences/Seminars/Lectures
END:VEVENT
END:VCALENDAR