Tuesday, June 30, 2020 - 10:15 in ZOOM - Video Conference
Stochastic Euler equations: a geometric approach
A talk in the Bielefeld Stochastic Afternoon series by
Mario Maurelli
| Abstract: |
Please contact stochana@math.uni-bielefeld.de for Meeting-ID and Password.
In their celebrated work [Ann. Math. 1970], Ebin and Marsden showed local well-posedness of the Euler equations in any dimension by solving a smooth ODE on the infinite-dimensional space of volume-preserving Sobolev diffeomorphisms. In this talk, we will develop such an approach for the Euler equations driven by an additive, stochastic force term: we will solve a stochastic ODE with smooth coefficients on the space of volume-preserving Sobolev diffeomorphisms and get in turn local well-posedness of the stochastic Euler equations. This approach is quite flexible and we believe it can be used for other stochastic PDEs. Based on the work arXiv:1909.09982 . Joint work with Klas Modin and Alexander Schmeding.
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