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SUMMARY:Joaquim Serra (ETH Zürich)
DTSTART:20201023T123000Z
DTEND:20201023T133000Z
DTSTAMP:20260415T223808Z
UID:BMD2020/5
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/BMD2020/5/">
 The singular set in the Stefan problem</a>\nby Joaquim Serra (ETH Zürich)
  as part of Barcelona Mathematical Days 2020\n\nLecture held in "Edifici d
 e l'Institut d'Estudis Catalans (IEC)". Carrer del Carme\, 47. Barcelona -
  Catalunya.\n\nAbstract\nThe Stefan problem\, dating back to the XIX centu
 ry\, aims to describe the evolution of a solid-liquid interface\, typicall
 y a block of ice melting in water. A celebrated work of Luis Caffarelli fr
 om the 1970’s established that the ice-water interface must be an analyt
 ic surface outside of a certain closed set: the so-called singular set. Th
 is singular set was only known to be contained in a surface of class $C^1 
 $ and it could be\, a priori\, as large as the regular set.\nI will presen
 t a recent joint work with A. Figalli and X. Ros-Oton in which we obtain n
 ew delicate bounds on the size (Hausdorff dimension) of the singular set i
 n the Stefan problem.\n
LOCATION:https://researchseminars.org/talk/BMD2020/5/
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