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BEGIN:VEVENT
DTSTART:20230901T210000Z
UID:172913@events.unl.edu
DTSTAMP:20230514T154843Z
ORGANIZER;CN=Mikil Foss:
SUMMARY:Javier Cueto García\, University of Nebraska
STATUS:CONFIRMED
DESCRIPTION:Can you imagine if we could have a ¾ derivative? -\n\n - What?
No\, why would I do that? It's Friday!\n\nWell\, as we all know\, the use
of mathematics has been quite effective in describing natural phenomena.
Popularly through the use of (partial) differential equations to model sys
tems in physics\, biology or economics for example. The function that desc
ribes the system is ‘hidden’ in these differential equations which sta
blish a relation between a function and its derivatives (related to how th
e function changes). But if we stretch something\, for example this wooden
beam…. (crack!) a fracture appears! Thus\, sometimes singularity phenom
ena may arise\, and that implies functions with discontinuities which do n
ot fit very well in these classical models.\n\nThere is something that can
tackle this. A new fantastic point of view! What is nonlocal? \n\nWe will
try to understand that. Basically\, we will consider a relaxed notion of
gradient\, typically made of an integral of a difference quotient. As a co
nsequence\, less regularity is needed and long range interactions can be t
aken into account (nonlocal\: points at a finite distance may exert an int
eraction upon each other). This means we have new horizons to pursue! In p
articular\, we will need to obtain several tools\, to the extent possible\
, similar to those of the classical case\, so that we can study these new
models. Fortunately\, we have already been able to obtain quite a few\, wh
ere a key ingredient has been a nonlocal version of the fundamental theore
m of calculus.
LOCATION:Avery Hall Room 115
URL://events.unl.edu/math/2023/09/01/172913/
DTEND:20230901T215000Z
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