BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Stefan problem: well-posedness and stability theories in presence 
 and absence of surface tension - Mahir Hadžić (MIT)
DTSTART:20130128T150000Z
DTEND:20130128T160000Z
UID:TALK42984@talks.cam.ac.uk
CONTACT:Prof. Clément Mouhot
DESCRIPTION:The Stefan problem is a well-known free boundary problem model
 ing phase transitions\, melting/freezing phenomena\, or nucleation. In the
  presence of surface tension\, it serves as a micro-scale description of a
  phase transition\, while in the absence thereof it acts as a macro-scale 
 description. Mathematically\, in the former case it has a flavor of a non-
 local curvature-driven flow\, while in the latter case it changes its char
 acter into a non-linear system of parabolic-hyperbolic type\, amenable to 
 maximum principle techniques.\n\nI will survey recent results on the well-
 posedness and stability theory\, introducing a new unifying functional fra
 mework for the two problems. The first consequence is a rigorous vanishing
  surface tension limit. Moreover\, I will show a global stability result i
 n absence of surface tension\, thereby explaining a hybrid methodology com
 bining high-order energy methods and quantitative Hopf-type lemmas.
LOCATION:CMS\, MR11
END:VEVENT
END:VCALENDAR