Self-truncation and scaling in Euler-Voigt-$\alpha$ and related fluid models

Giuseppe Di Molfetta, Giorgio Krstlulovic, Marc Brachet

A generalization of the $3D$ Euler-Voigt-$\alpha$ model is obtained by introducing derivatives of arbitrary order $\beta$ (instead of $2$) in the Helmholtz operator. The $\beta \to \infty$ limit…