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

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SRQW02 - Quantum field theory, renormalisation and stochastic partial differential equations

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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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