Helicity conservation simplifies the weak-turbulence kinetic equation, yielding a unique scale-invariant spectrum for constant energy flux while same-branch triads produce systematic backscatter even in direct cascades.
Poincar´ e, Sur l’´ equilibre d’une masse fluide anim´ ee d’un mouvement de rotation, Bulletin astronomique, Observatoire de Paris2, 109 (1885)
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Sign-Indefinite Helicity and the Structure of Weak Turbulence in Inertial and Non-Hermitian Waves
Helicity conservation simplifies the weak-turbulence kinetic equation, yielding a unique scale-invariant spectrum for constant energy flux while same-branch triads produce systematic backscatter even in direct cascades.