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SUMMARY:An Additive-Noise Approximation to Keller–Segel–Dean–Kawasak
i Dynamics - Adrian Martini (University of Oxford)
DTSTART;VALUE=DATE-TIME:20240226T140000Z
DTEND;VALUE=DATE-TIME:20240226T150000Z
UID:https://talks.ox.ac.uk/talks/id/84afa7c2-3a34-473e-8c7e-d139fb8d4031/
DESCRIPTION:The theory of fluctuating hydrodynamics aims to describe densi
ty fluctuations of interacting particle systems as so-called Dean–Kawasa
ki stochastic partial differential equations. However\, Dean–Kawasaki eq
uations are ill-posed and the focus has shifted towards finding well-posed
approximations that retain the statistical properties of the particle sys
tem. In this talk\, we consider the fluctuating hydrodynamics of a system
in which particles are attracted to one another through a Coulomb force (K
eller–Segel dynamics). We propose an additive-noise approximation and sh
ow that it retains the same law of large numbers and central limit theorem
as (conjectured for) the particle system. We further deduce a large devia
tion principle and show that the approximation error lies in the skeleton
equation that drives the rate function. Based on joint work with Avi Mayor
cas.\nSpeakers:\nAdrian Martini (University of Oxford)
LOCATION:Mathematical Institute\, Woodstock Road OX2 6GG
TZID:Europe/London
URL:https://talks.ox.ac.uk/talks/id/84afa7c2-3a34-473e-8c7e-d139fb8d4031/
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DESCRIPTION:Talk:An Additive-Noise Approximation to Keller–Segel–Dean
–Kawasaki Dynamics - Adrian Martini (University of Oxford)
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