| Abstract: |
| We show two important analytical properties of deterministic Euler fluid dynamics in three dimensions possess close counterparts in the stochastic Euler fluid model introduced by Holm [2015]. The first of these analytical properties is the local-in-time existence and uniqueness of deterministic Euler fluid flows. The second property is stochastic counterpart of the classical criterion for blow-up in finite time due to Beale, Kato and Majda. The stochastic model investigated here bodes well for the potential use of this model in, e.g., uncertainty quantification of either observed, or numerically simulated fluid flows. |
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