Schedule Jun 2
Alpha models of classical and superfluid turbulence
D. Holm (LANL)
Recent developments in geometrical mechanics have led us to a new family of models of classical fluid turbulence called alpha models. We shall summarize the initial successes of the alpha models in mathematical analysis, comparison with experiments and direct numerical simulations. We shall then discuss potential improvements of these models based on combining the geometrical approach leading to the alpha-models with the physical principles underlying our new models of superfluid Helium turbulence, derived recently in the same geometrical framework as for the alpha models. Thus, the complementary applications of this approach to both classical and superfluid turbulence will each be used to illuminate the properties of the other.

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