Turbulence is an ubiquitous phenomenon in fluid flows. Yet, calculating its statistical properties, and in particular what is generically called intermittency effects, remains an open issue. In this talk, I will focus on isotropic and homogeneous fully developed turbulence in incompressible flows. While much effort has been devoted to characterising equal-time properties of the turbulent state, less is known about its temporal behaviour. I will present some analytical results on the time dependence of generic multi-point correlation functions in the stationary turbulent state. These results are obtained from « first principles », i.e. starting from the forced Navier-Stokes equation, and using a field-theoretical approach (based on Functional and Non-Perturbative Renormalisation Group techniques). They are asymptotically exact in the limit of large wave-numbers. I will compare these predictions with available results from both direct numerical simulations and experiments.
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