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UID:8911@i2m.univ-amu.fr
DTSTART;TZID=Europe/Paris:20251118T110000
DTEND;TZID=Europe/Paris:20251118T120000
DTSTAMP:20251117T154059Z
URL:https://www.i2m.univ-amu.fr/evenements/seminaire-aa-tba-5/
SUMMARY:Bastien Grosse (Université de Nantes): Séminaire AA -- Well-posed
 ness of the Vlasov-Poisson system with floating potential at a wall.
DESCRIPTION:Bastien Grosse: We are interested in a bi-species\, uni-dimensi
 onal plasma occupying the domain [0\,1]. Particles are injected at x=0 and
  at x=1 there is a fully absorbing wall. If we want to model the problem b
 y the Vlasov-Poisson system\, then we have to choose a boundary condition 
 for the potential.\nThe system is compatible with the Maxwell-Ampère equa
 tion only for a nonlinear Dirichlet boundary condition at the wall\, which
  depends on currents. This expression for the floating potential is natura
 lly associated with finite energy solutions. We will study well-posedness 
 of the system in the space BV.\nThen\, we will show simulation for station
 ary data\, and comment on the long time behavior.
CATEGORIES:Séminaire,Analyse Appliquée
LOCATION:I2M Saint-Charles - Salle de séminaire\, Université Aix-Marseill
 e\, Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, Franc
 e
X-APPLE-STRUCTURED-LOCATION;VALUE=URI;X-ADDRESS=Université Aix-Marseille\,
  Campus Saint-Charles\, 3 Place Victor Hugo\, Marseille\, 13003\, France;X
 -APPLE-RADIUS=100;X-TITLE=I2M Saint-Charles - Salle de séminaire:geo:0,0
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TZID:Europe/Paris
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DTSTART:20251026T020000
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