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UID:701573843338fd1017d0d79a538a287b
DTSTAMP:20260520T004207Z
SUMMARY:Stefano Bianchini: On the admissibility of spiral-like strategies f
 or blocking fire
DESCRIPTION:We address the problem for fire blocking by constructing a wall
  $\\zeta$ whose shape is a spiral. This is considered the best strategy in
  the case of a single firefighter is constructing the wall with a finite c
 onstruction speed $\\sigma$: the barriers which satisfy this bound on the 
 construction speed are called admissible. We prove a sharp version of Bres
 san’s Fire Conjecture \\cite{Bressan_conj} in this case\, i.e. when admi
 ssible barriers are spirals: namely\, there exists a spiral-like barrier c
 onfining the fire in a bounded region of $\\R^2$ if and only if the speed 
 of construction $\\sigma$ is strictly larger that a critical speed $\\bar 
 \\sigma = 2.61…$. The existence of confining spiral barriers for $\\sigm
 a > \\bar \\sigma$ is already known\, while we concentrate on the negative
  side\, i.e. if $\\sigma \\leq \\bar \\sigma$ no admissible barrier blocks
  the fire.
URL:https://www.imperial.ac.uk/events/186148/avi-mayorcas-tba/
DTSTART;TZID=Europe/London:20250130T140000
DTEND;TZID=Europe/London:20250130T150000
LOCATION:Huxley 140\, Huxley Building\, South Kensington Campus\, Imperial 
 College London\, London\, SW7 2AZ\, United Kingdom
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