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SUMMARY:Theo Diamantakis (Imperial): Homogenisation theory as a motivation
for stochastic fluid mechanics
DESCRIPTION:Title\nHomogenisation theory as a motivation for stochastic flu
id mechanics\nAbstract\n\nGeophysical fluid dynamics (GFD) often exhibit r
ich dynamical complexity and steep computational costs. Stochastic paramet
risations are a current and fruitful research area in rendering simulation
s more tractable for forecasting.\nIn this talk we discuss a mathematical
procedure for approximating multi-time deterministic chaotic systems with
randomly selected initial conditions by stochastic differential equations.
This is known as stochastic homogenisation. We apply homogenisation to ob
tain one such stochastic parametrisation for fluids\, stochastic advection
by Lie transport (SALT) and derive structure preserving stochastic equati
ons via a variational principle. A homogenisation approach to stochastic f
luid dynamics is particularly well suited given multiple time scales and s
ensitivity to initial conditions that are naturally occurring in GFD.\nWe
shall discuss the insight obtained from this approach\, links to stochasti
c analysis\, as well the surprising phenomena of noise induced drift terms
that often lead to dramatic changes in dynamical behaviour.\n\nPlease not
e that the seminar will take place in person in room 642 of Huxley Buildin
g.\n\nClick here to get to the Junior Analysis Seminar webpage.
URL:https://www.imperial.ac.uk/events/166840/junior-analysis-seminar-theo-d
iamantakis-imperial/
DTSTART;TZID=Europe/London:20231122T140000
DTEND;TZID=Europe/London:20231122T150000
LOCATION:642\, Huxley Building\, South Kensington Campus\, Imperial College
London\, London\, SW7 2AZ\, United Kingdom
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