Best regards, Stefan


Dear Colleague,

tomorrow, Friday, April 11 ,

(12:30 noon London, 1:30 pm Berlin, 2:30 pm Helsinki, 7:30 pm Beijing)

in the *International Seminar on SDEs and Related Topics* in Zoom

https://jyufi.zoom.us/j/61891007917

  Apr 11, 2025
*Arnaud Debussche*
(ENS Rennes, France)

     will speak about

*From correlated to white transport noise in fluid models*

Abstract: Stochastic fluid models with transport noise are popular, the
transport noise models unresolved small scales. The main assumption in
these models is a very strong separation of scales allowing this
representation of small scales by white - i.e. fully decorrelated -
noise. It is therefore natural to investigate whether these models are
limits of models with correlated noises. Also, an advantage of
correlated noises is that they allow classical calculus. In particular,
it allows to revisit the derivation of stochastic models from
variational principles and allows to derive an equation for the
evolution of the noise components. The advantage of having such an
equation is that in most works, the noise components are considered as
given and stationary with respect to time which is non realistic.
Coupling stochastic fluid models with these gives more realistic systems.

===== about the speaker ====

Arnaud Debussche is a prominent French mathematician specializing in
stochastic partial differential equations and their applications. Born
in 1965, he attended the École Normale Supérieure de Saint-Cloud,where
he pursued advanced studies in mathematics. He earned his Ph.D. from
Université d'Orsay in 1989. Following a postdoctoral position at Indiana
University, he joined the National Center for Scientific Research (CNRS)
in 1992. In 2000, he became a full professor at the École Normale
Supérieure de Rennes, where he continues to contribute significantly to
the field. Throughout his career, Professor Debussche has made
substantial contributions to the analysis and numerical simulation of
stochastic partial differential equations, particularly in fluid
dynamics. His work includes studies on the stochastic Navier–Stokes
equations and the stochastic nonlinear Schrödinger equation. He has also
co-edited scholarly works on stochastic partial differential equations,
reflecting his active engagement in advancing mathematical understanding
in this area. Professor Debussche's research has been widely recognized
and cited, underscoring his influence in the mathematical community. His
ongoing work continues to shape the study of stochastic processes and
their applications in complex systems.

========our webpage is ========================
   https://users.jyu.fi/~chgeiss/271828.html