Institut für Mathematik


Modul:   MAT675  PDE and Mathematical Physics

Intermittency and lower dimensional dissipation in fully developed turbulence

Vortrag von Dr. Luigi De Rosa

Sprecher eingeladen von: Prof. Dr. Klaus Widmayer

Datum: 23.02.23  Zeit: 16.15 - 18.00  Raum: ETH HG G 19.1

It is well known that the empirical failure of Kolmogorov theoretical prediction (K41) on the local structures of incompressible turbulent flows fails because of the intermittent nature of the velocity field. Several physical intermittency models have been thus proposed to reconcile K41 to experiments and most of them builds on the observable phenomenon that the nontrivial energy dissipation (zero-th law of turbulence) is not space filling, i.e. it is lower dimensional. In this talk I will discuss a recent work, obtained together with Philip Isett, where we propose a machinery to quantitatively translate dimensionality assumptions on the dissipation into deviations from K41 prediction. The approach is rather geometrical and if time permits I will describe how it connects to much more abstract/general settings.