Direct numeric simulation of the Biot-Savart equation readily resolves the 17/5 spectrum of the Kelvin-wave cascade from the 11/3 spectrum of the non-local (in the wavenumber space) cascade scenario by L’vov and Nazarenko. This result is a clear-cut visualisation of the unphysical nature of the 11/3 solution, which was established earlier on the grounds of symmetry.
Kozik, E and Svistunov, Boris, "The 17/5 spectrum of the Kelvin-wave cascade" (2010). Physics Department Faculty Publication Series. 1203.
Retrieved from https://scholarworks.umass.edu/physics_faculty_pubs/1203