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DTSTAMP:20260406T092210Z
UID:1622469600@ist.ac.at
DTSTART:20210531T160000
DTEND:20210531T170000
DESCRIPTION:Speaker: Julian Fischer\nhosted by Laszlo Erdös\nAbstract: Par
 tial differential equations (PDEs) are a fundamental tool for modeling in 
 the sciences\, providing accurate descriptions for many phenomena from the
  molecular scale over the scale of continuum mechanics to the largest scal
 es in the universe. The rigorous justification of scaling limits is an imp
 ortant aspect of modern mathematical PDE theory: In many situations\, it i
 s desirable to replace a rather complex (and sometimes intractable) PDE mo
 del by approximating it by a simpler equation. For other PDE models\, it m
 ay be necessary to regularize the PDE for the purpose of numerical simulat
 ion\, and it remains to be shown that the solution to the regularized prob
 lem is close to the original one.In this talk\, we focus on two particular
  examples of scaling limits for PDEs. In the first part\, we discuss the d
 erivation of effective macroscopic equations for media with random small-s
 cale structure\, along with corresponding numerical approaches. In the sec
 ond part of the talk\, we outline a recent approach to the analysis of sta
 bility and approximability of curvature-driven flows.
LOCATION:Online\, ISTA
ORGANIZER:arinya.eller@ist.ac.at
SUMMARY:Julian Fischer: Partial differential equations and scaling limits
URL:https://talks-calendar.ista.ac.at/events/3196
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