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UID:DSC-13867
DTSTART;TZID=Europe/Berlin:20171220T170000
SEQUENCE:1512130965
TRANSP:OPAQUE
DTEND;TZID=Europe/Berlin:20171220T180000
URL:https://www.dresden-science-calendar.de/calendar/en/detail/13867
LOCATION:TUD Willers-Bau\, Zellescher Weg 12-1401069 Dresden
SUMMARY:Akagi: Evolution equations arising from non-standard irreversible m
 odels
CLASS:PUBLIC
DESCRIPTION:Speaker: Prof. Goro Akagi\nInstitute of Speaker: Tohoku Univers
 ity\, Tohokudai\, Japan\nTopics:\nMathematik\n Location:\n  Name: TUD Will
 ers-Bau (WIL C 307)\n  Street: Zellescher Weg 12-14\n  City: 01069 Dresden
 \n  Phone: \n  Fax: \nDescription: Irreversible phenomena (e.g.\, diffusio
 n\, phase transition\, friction) are one of most fundamental physical phen
 omena and also play a crucial role in our life. Therefore such irreversibl
 e phenomena have been attracting much interest of physicists and mathemati
 cians and some classical theories have already been established in the las
 t century. On the other hand\, many irreversible phenomena beyond the clas
 sical theories were also observed\, and therefore\, various modified model
 s have been also proposed. In particular\, from a macroscopic point of vie
 w\, various nonlinear and nonlocal PDEs have been introduced to describe s
 uch non-classical aspects of irreversible phenomena.    In this talk\, we 
 shall overview several nonlinear and nonlocal evolution equations (or PDEs
 ) which arise from non-standard irreversible models. We shall start with (
 relatively well-known) porous medium and fast diffusion equations\, which 
 are sorts of nonlinear diffusion equations and describe anomalous diffusio
 n. Then several curious equations will be exhibited as generalized or rela
 ted ones of these equations. They may include an infinity-Laplace paraboli
 c equation\, variable exponent cases\, doubly-nonlinear equations and some
  limiting equations. We may also discuss evolution equations including fra
 ctional derivatives\, which are recently well studied and known as an anot
 her direction to provide a description fitter for anomalous diffusion.
DTSTAMP:20260523T120330Z
CREATED:20171201T120645Z
LAST-MODIFIED:20171201T122245Z
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