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SUMMARY:On the Size of the Singular Set in the Stefan Problem
DTSTART:20190517T141500
DTSTAMP:20260916T220424Z
UID:6ab0edd9af6129add0a2564e680ac6e0a19d9331f193e179c8e9d774
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Xavier ROS-OTON\, University of Zürich\nAbstract: \nTh
 e Stefan problem\, dating back to the XIXth century\, is probably the mo
 st classical and important free boundary problem. It describes phase tran
 sitions\, such as ice melting to water. The regularity of free boundaries
  in the Stefan problem was developed in the groundbreaking paper (Caffa
 relli\, Acta Math. 1977). The main result therein establishes that the fre
 e boundary is $C^\\infty$ in space and time\, outside a certain set of sin
 gular points.   The fine understanding of singularities is of central imp
 ortance in a number of areas related to nonlinear PDEs and Geometric Analy
 sis. In particular\, a major question in such context is to establish esti
 mates for the size of the singular set. The goal of this talk is to presen
 t some new results in this direction for the Stefan problem in $\\R^3$.
  This is a joint work with A. Figalli and J. Serra. 
LOCATION:MA B1 11 https://plan.epfl.ch/?room=MAB111
STATUS:CONFIRMED
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