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UID:news1088@dmi.unibas.ch
DTSTAMP;TZID=Europe/Zurich:20200923T091416
DTSTART;TZID=Europe/Zurich:20201007T141500
SUMMARY:Seminar Analysis and Mathematical Physics: Klaus Widmayer (EPFL)
DESCRIPTION:A point charge is a particularly basic and important equilibriu
 m of the Vlasov-Poisson equations\, and the study of its stability has ins
 pired several major contributions. In this talk we present some recent wor
 k\, which brings a fresh perspective on this problem. Our new approach com
 bines a Lagrangian analysis of the linearized problem with an Eulerian PDE
  framework in the nonlinear analysis\, all the while respecting the symple
 ctic structure. As a result\, for the case of radial initial data\, we see
  that solutions are global and in fact disperse to infinity via a modified
  scattering along trajectories of the linearized flow. This is joint work 
 with Benoit Pausader (Brown University).
X-ALT-DESC:<p>A point charge is a particularly basic and important equilibr
 ium of the Vlasov-Poisson equations\, and the study of its stability has i
 nspired several major contributions. In this talk we present some recent w
 ork\, which brings a fresh perspective on this problem. Our new approach c
 ombines a Lagrangian analysis of the linearized problem with an Eulerian P
 DE framework in the nonlinear analysis\, all the while respecting the symp
 lectic structure. As a result\, for the case of radial initial data\, we s
 ee that solutions are global and in fact disperse to infinity via a modifi
 ed scattering along trajectories of the linearized flow. This is joint wor
 k with Benoit Pausader (Brown University).</p>
DTEND;TZID=Europe/Zurich:20201007T160000
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