  We show how Noether conservation laws can be obtained from the particle
relabelling symmetries in the Euler-Poincar\'e theory of ideal fluids with
advected quantities. All calculations can be performed without Lagrangian
variables, by using the Eulerian vector fields that generate the symmetries,
and we identify the time-evolution equation that these vector fields satisfy.
When advected quantities (such as advected scalars or densities) are present,
there is an additional constraint that the vector fields must leave the
advected quantities invariant. We show that if this constraint is satisfied
initially then it will be satisfied for all times. We then show how to solve
these constraint equations in various examples to obtain evolution equations
from the conservation laws. We also discuss some fluid conservation laws in the
Euler-Poincar\'e theory that do not arise from Noether symmetries, and explain
the relationship between the conservation laws obtained here, and the
Kelvin-Noether theorem given in Section 4 of Holm, Marsden and Ratiu, {\it Adv.
in Math.}, 1998.
