Global strong Lp well-posedness of the 3D primitive equations with heat and salinity diffusion

Consider the full primitive equations, i.e. the three dimensional primitive equations coupled to the equation for temperature and salinity, and subject to outer forces. It is shown that this set of equations is globally strongly well-posed for arbitrary   large initial data lying in certain interpolation spaces, which are explicitly characterized as subspaces of H2/p,pH2/p,p, 1