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UID:news1956@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20251120T182128
DTSTART;TZID=Europe/Zurich:20251126T121500
SUMMARY:Bernoullis Tafelrunde: Florian Lanz (Basel)
DESCRIPTION:We introduce the fractional Laplacian operator (–Δ)s\, motiv
 ating its study by illustrating its effectiveness in modelling super-diffu
 sion. We then consider the fractional Gelfand equation\, a fractional anal
 ogue of the classical Gelfand equation describing an isothermal gas sphere
  in gravitational equilibrium. In one spatial dimension\, we establish exi
 stence and uniqueness of solutions\, and discuss blow-up phenomena as well
  as the long-time behaviour of the associated parabolic flow.\\r\\npdf_ver
 sion [t3://file?uid=4079]
X-ALT-DESC:<p>We introduce the fractional Laplacian operator (–Δ)<sup>s<
 /sup>\, motivating its study by illustrating its effectiveness in modellin
 g super-diffusion. We then consider the fractional Gelfand equation\, a fr
 actional analogue of the classical Gelfand equation describing an isotherm
 al gas sphere in gravitational equilibrium. In one spatial dimension\, we 
 establish existence and uniqueness of solutions\, and discuss blow-up phen
 omena as well as the long-time behaviour of the associated parabolic flow.
 </p>\n<p><a href="t3://file?uid=4079">pdf_version</a></p>
DTEND;TZID=Europe/Zurich:20251126T130000
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