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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