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SUMMARY:Reaction diffusion approximation for nonlocal interactions
DTSTART;VALUE=DATE-TIME:20180711T010000Z
DTEND;VALUE=DATE-TIME:20180711T013000Z
DTSTAMP;VALUE=DATE-TIME:20241107T223007Z
UID:indico-contribution-146@conferences.maths.unsw.edu.au
DESCRIPTION:Speakers: Yoshitaro Tanaka (FUTURE UNIVERSITY HAKODATE)\nRecen
tly\, nonlocal interactions (spatial long range interactions) have attract
ed attention in many fields. Mathematical treatment of nonlocal interactio
n is mainly based on convolution with kernels. If the profile of a nonloca
l interaction is detected by experiments\, we can easily investigate how p
atterns are generated by numerical simulations. However\, nonlocal interac
tions are often inconvenient for observing specific mechanisms behind the
target phenomena. In response to this\, we proposed a new method that coul
d convert nonlocal interactions into a reaction-diffusion system with auxi
liary unknown variables. In this talk\, we will explain the method of appr
oximation\, and how to determine the parameters of the reaction-diffusion
system for the given kernel shape.\n\nhttps://conferences.maths.unsw.edu.a
u/event/2/contributions/146/
LOCATION:University of Sydney New Law School/--101
URL:https://conferences.maths.unsw.edu.au/event/2/contributions/146/
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