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BEGIN:VEVENT
UID:news1101@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20210623T193336
DTSTART;TZID=Europe/Zurich:20201030T110000
SUMMARY:Seminar in Numerical Analysis: Alfio Borzi (Universität Würzburg)
DESCRIPTION:The Liouville equation is the fundamental building block of mod
 els that govern the evolution of density functions of multi-particle syst
 ems. These models include different Fokker-Planck and Boltzmann equations
  that arise in many application fields ranging from gas dynamics to pedes
 trians' motion where the need arises to control these systems.\\r\\nThis 
 talk provides an introduction to the formulation and solution of optimal 
 control problems governed by the Liouville equation and related models. T
 he purpose of this framework is the design of robust controls to steer th
 e motion of particles\, pedestrians\, etc.\, where these agents are repre
 sented in terms of density functions. For this purpose\, expected-value c
 ost functionals are considered that include attracting potentials and dif
 ferent costs of the controls\, whereas the control mechanism in the gover
 ning models is part of the drift or is included in a collision term.\\r\\
 nIn this talk\, theoretical and numerical results concerning ensemble opt
 imal control problems with Liouville\, Fokker-Planck and linear Boltzmann
  equations are presented.\\r\\n For further information about the seminar\
 , please visit this webpage [t3://page?uid=1115].
X-ALT-DESC:<p>The Liouville equation is the fundamental building block of m
 odels that&nbsp\;govern the evolution of density functions of multi-partic
 le systems. These&nbsp\;models include different Fokker-Planck and Boltzma
 nn equations that arise&nbsp\;in many application fields ranging from gas 
 dynamics to pedestrians' motion&nbsp\;where the need arises to control the
 se systems.</p>\n<p>This talk provides an introduction to the formulation 
 and solution&nbsp\;of optimal control problems governed by the Liouville e
 quation&nbsp\;and related models. The purpose of this framework&nbsp\;is t
 he design of robust controls to steer the motion of particles\, pedestrian
 s\, etc.\,&nbsp\;where these agents are represented in terms of density fu
 nctions.&nbsp\;For this purpose\, expected-value cost functionals are cons
 idered&nbsp\;that include attracting potentials and different costs of the
  controls\, whereas&nbsp\;the control mechanism in the governing models is
  part of the drift&nbsp\;or is included in a collision term.</p>\n<p>In th
 is talk\, theoretical and numerical results concerning ensemble&nbsp\;opti
 mal control problems with Liouville\, Fokker-Planck and linear&nbsp\;Boltz
 mann equations are presented.</p>\n<p><br /> For further information about
  the seminar\, please visit this <a href="t3://page?uid=1115" title="Opens
  internal link in current window">webpage</a>.</p>
DTEND;TZID=Europe/Zurich:20201030T120000
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