  In this paper we present a self-contained variational theory of the layer
potentials for the Stokes problem on Lipschitz boundaries. We use these weak
definitions to show how to prove the main theorems about the associated
Calder\'on projector. Finally, we relate these variational definitions to the
integral forms. Instead of working these relations from scratch, we show some
formulas parametrizing the Stokes layer potentials in terms of those for the
Lam\'e and Laplace operators. While all the results in this paper are well
known for smooth domains, and most might be known for non-smooth domains, the
approach is novel a gives a solid structure to the theory of Stokes layer
potentials.
