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SUMMARY:Regularity of interfaces in phase transitions via obstacle problem
 s  - Alessio Figalli (ETH)
DTSTART:20180511T110000Z
DTEND:20180511T120000Z
UID:TALK98509@talks.cam.ac.uk
CONTACT:HoD Secretary\, DPMMS
DESCRIPTION:The so-called Stefan problem describes the temperature distrib
 ution in\na homogeneous medium undergoing a phase change\, for example ice
  melting \nto water. An important goal is to describe the structure of the
  interface\nseparating the two phases.\n\nIn its stationary version\, the 
 Stefan problem can be reduced to the\nclassical obstacle problem\, which c
 onsists in finding the equilibrium\nposition of an elastic membrane whose 
 boundary is held fixed and which\nis constrained to lie above a given obst
 acle. \n\nThe aim of this talk is to give a general overview of the classi
 cal\ntheory of the obstacle problem\, and then discuss recent\ndevelopment
 s on the structure of interfaces\, both in the\nstatic and the parabolic s
 ettings.\n
LOCATION:Room 3\, Mill Lane Lecture Rooms\, 8 Mill Lane\, Cambridge
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