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A scaling limit from Euler to Navier-Stokes equations with random perturbation

Presented by: 
Franco Flandoli
Thursday 25th October 2018 - 11:30 to 12:30
INI Seminar Room 1
In the past years there has been intense research on Euler equations with multiplicative transport type noise and Navier-Stokes equations with additive noise. Each model has its own motivations but apparently there is no link between them. We show that a special scaling limit of the stochastic Euler equations leads to the stochastic Navier-Stokes equations. Remarkable is the difference of the noises. And the inversion with
respect to usual paradigms which consider Euler equations as limit of Navier-Stokes equations in special regimes.
This is a joint work with Dejun Luo, Academy of Sciences, Beijing.
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Presentation Material: 
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons