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SUMMARY:A Random Wanderers guide to the Diffusion Equation Universe
DTSTART;VALUE=DATE-TIME:20191108T080000Z
DTEND;VALUE=DATE-TIME:20191108T084000Z
DTSTAMP;VALUE=DATE-TIME:20200808T232020Z
UID:indico-contribution-49@conference2.aau.at
DESCRIPTION:Speakers: Bill Rundell ()\nThe classical reaction-diffusion eq
uation can be stated as the rate of change of the state variable $u$ equal
s the sum of a diffusion operator and a (often nonlinear) reaction term: $
u_t = -L\\\,u + f(u)$\, where typically $-L$ is an elliptic operator. The
equation\, while known in form\, can have specific parameters undetermined
\; for example coefficients in $L$ or the function $f$ itself.\nWe look at
various models for recovery of these but we also do so in a context beyon
d Brownian motion diffusion and its parabolic pde format. These so-called
anomalous diffusion models give rise to nonlocal differential operators of
fractional type and add further difficulties to an already complex proble
m.\nThe work is joint with Barbara Kaltenbacher.\n\nhttps://conference2.aa
u.at/event/16/contributions/49/
LOCATION:Stiftungssaal K.0.01
URL:https://conference2.aau.at/event/16/contributions/49/
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