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SUMMARY:Deformed American footballs satisfy the hot spots conjecture
DTSTART:20260521T120000Z
DTEND:20260521T130000Z
DTSTAMP:20260524T064700Z
UID:indico-event-16594@indico.math.cnrs.fr
DESCRIPTION:Speakers: Chris Judge\n\nIn 1974 Jeffrey Rauch posed the follo
 wing question: Consider the evolution of heat on a perfectly insulated obj
 ect. It is well-known that\, as time tends to infinity\, the temperature d
 istribution will converge to a constant temperature distribution. Rauch as
 ked where the temperature is maximized at very large times. He mused that 
 the `hottest spot' might always drift to the boundary as time limits to in
 finity.  This `conjecture' appears to be true for simply connected domain
 s in the plane. We provide a class of domains for which Rauch’s `hot spo
 ts conjecture’ is true. This talk is based on joint work with Luc Hilla
 iret and Sugata Mondal. \n\nhttps://indico.math.cnrs.fr/event/16594/
LOCATION:Salle de Séminaires (Orléans)
URL:https://indico.math.cnrs.fr/event/16594/
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