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SUMMARY:Analysis of Drift-Diffusion Models for Perovskite Solar Cells
DTSTART:20251209T101500Z
DTEND:20251209T111500Z
DTSTAMP:20260506T100100Z
UID:indico-event-14546@indico.math.cnrs.fr
DESCRIPTION:Speakers: Maxime Herda\n\nIn this presentation\, I will presen
 t results from recent works on the mathematical and numerical analysis of 
 models describing charge transport in perovskite solar cells. The dynamics
  of charges in these semiconductors can be modeled by parabolic drift-diff
 usion systems\, which have been well studied for several decades in classi
 cal devices. However\, in the context of perovskite cells\, new phenomena 
 must be taken into account: ionic transport with volume exclusion effects\
 , as well as photogeneration. Incorporating these effects makes the models
  stiffer\, multi-scale\, and more nonlinear than conventional drift-diffus
 ion systems.\nOn one hand\, I will present the construction\, analysis\, a
 nd implementation of a finite volume numerical scheme for this class of mo
 dels\, and on the other hand\, the mathematical analysis of the stationary
  problem\, based on iterative energy estimates in the Stampacchia/De Giorg
 i style. These results were obtained in collaboration with colleagues from
  Inria Lille\, the University of Bordeaux\, and the Weierstrass Institute 
 in Berlin.\n\nhttps://indico.math.cnrs.fr/event/14546/
URL:https://indico.math.cnrs.fr/event/14546/
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