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UID:news2118@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20261106T102537
DTSTART;TZID=Europe/Zurich:20261120T113000
SUMMARY:Junior BZ Seminar in Analysis: Bernhard Kepka (Uni Zürich)
DESCRIPTION:The long-time behaviour of solutions to the Vlasov—Poisson eq
 uation has been a topic of interest for many years. A particular situation
  which has been studied recently concerns solutions around an attractive p
 oint mass. This model is appealing since the interaction between particles
  and point mass can be computed explicitly\, in fact\, this is exactly the
  Kepler problem. A reoccurring tool will therefore be action-angle variabl
 es. With this the Kepler dynamics splits essentially in two cases: hyperbo
 lic and elliptic trajectories.\\r\\nFirst\, we discuss the long-time behav
 iour of solutions to the Vlasov—Poisson equation\, when supported on hyp
 erbolic trajectories. Then\, we give an overview of known results as well 
 as the main difficulties of the analysis of solutions supported on ellipti
 c trajectories.
X-ALT-DESC:<p>The long-time behaviour of solutions to the Vlasov—Poisson 
 equation has been a topic of interest for many years. A particular situati
 on which has been studied recently concerns solutions around an attractive
  point mass. This model is appealing since the interaction between particl
 es and point mass can be computed explicitly\, in fact\, this is exactly t
 he Kepler problem. A reoccurring tool will therefore be action-angle varia
 bles. With this the Kepler dynamics splits essentially in two cases: hyper
 bolic and elliptic trajectories.</p>\n<p>First\, we discuss the long-time 
 behaviour of solutions to the Vlasov—Poisson equation\, when supported o
 n hyperbolic trajectories. Then\, we give an overview of known results as 
 well as the main difficulties of the analysis of solutions supported on el
 liptic trajectories.</p>
DTEND;TZID=Europe/Zurich:20261120T115500
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