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DTSTART:20200329T030000
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DTSTAMP:20260404T015755Z
UID:5b4d8fb0870f6995086949@ist.ac.at
DTSTART:20200220T160000
DTEND:20200220T180000
DESCRIPTION:Speaker: Federico Cornalba\nhosted by Julian Fischer\nAbstract:
  Dean-Kawasaki (DK) equations\, a class of stochastic PDEs featuring a non
 -Lipschitz multiplicative noise in divergence form\, provide a mesoscopic 
 description of the dynamics of finitely many particles obeying Langevin dy
 namics. Well-posedness for DK equations is open with the exception of spec
 ific diffusive cases\, where no regular (nonatomic) solutions exist. We de
 rive and analyse a regularised DK equation based on a system of weakly int
 eracting particles following underdamped McKean-Vlasov dynamics. The regul
 arisation can be interpreted as considering particles of finite size rathe
 r than describing them by atomic measures. We detail open questions concer
 ning modelling approximations and scaling optimality associated with the p
 article size (joint work with Tony Shardlow and Johannes Zimmer).
LOCATION:Heinzel Seminar Room / Office Bldg West (I21.EG.101)\, ISTA
ORGANIZER:boosthui@ist.ac.at
SUMMARY:Federico Cornalba: From weakly interacting particles to a regularis
 ed Dean-Kawasaki model
URL:https://talks-calendar.ista.ac.at/events/2618
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