  We prove the existence and uniqueness of maximal solutions to the 3D SALT
(Stochastic Advection by Lie Transport, [Holm arXiv:1410.8311]) Navier-Stokes
Equation in velocity and vorticity form, on the torus and the bounded domain
respectively. The current work partners the paper [Goodair et al,
arXiv:2209.09137] as an application of the abstract framework presented there,
justifying the results first announced in [Goodair, arXiv:2202.09242v2]. In
particular this represents the first well-posedness result for a fluid equation
perturbed by a general transport type noise on a bounded domain.
