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SUMMARY:Pseudo-differential equation with spatial p-adic variables and som
e of their applications
DTSTART;VALUE=DATE-TIME:20211125T080000Z
DTEND;VALUE=DATE-TIME:20211125T100000Z
DTSTAMP;VALUE=DATE-TIME:20220116T104700Z
UID:indico-event-1166@events.imath.kiev.ua
CONTACT:shidlich@gmail.com
DESCRIPTION:Speakers: Alexandra Antoniouk (Institute of Mathematics of the
National Academy of Sciences of Ukraine)\n Abstract: \n\nThe p-adic Mat
hematics is widely used in the Theoretical Physics and Biology. It attract
s a great interest in quantum mechanics\, string theory\, quantum gravity\
, spin-glass theory and system biology. \n\nThe concept of a hierarchical
energy landscape is very important from the point of view of the descripti
on of relaxation phenomena in complex systems\, in particular\, spin glass
es\, clusters and proteins. This concept can be outlined as follows. A com
plex system is assumed to have a large number of metastable configurations
which realize local minima on the potential energy surface. The local min
ima are clustered in hierarchically nested basins of minima\, namely\, eac
h large basin consists of smaller basins\, each of these consisting of eve
n smaller ones\, and so on. Thus we may say that the hierarchy of basins p
ossesses ultrametric geometry and transitions between the basins determine
the rearrangements of the system configuration for different time scales.
Thus the key points of the concept of a hierarchical structure which is t
ypical for p-adic world is the main advantage which can be used for the de
scription of the complex phenomenon. \n\nUsing a p-adic interpretation of
a porous medium and the hydrodynamic description of fluids we give an exam
ple of a non-Archimedean mathematical model of fluid propagating through a
porous medium. \nhttps://events.imath.kiev.ua/event/1166/
LOCATION:https://zoom.us/j/91749209940?pwd=N2VZYUdFcm1ZdmhkTlkrK2tnVGEwZz0
9 (ONLINE)
URL:https://events.imath.kiev.ua/event/1166/
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