  We write down a theory for non-Abelian superfluids with a partially broken
(semisimple) Lie group. We adapt the offshell formalism of hydrodynamics to
superfluids and use it to comment on the superfluid transport compatible with
the second law of thermodynamics. We find that the second law can be also used
to derive the Josephson equation, which governs dynamics of the Goldstone
modes. In the course of our analysis, we derive an alternate and mutually
distinct parametrization of the recently proposed classification of
hydrodynamic transport and generalize it to superfluids.
