Approximation by an iterative method for regular solutions for incompressible fluids with mass diffusion

We study the approximation by means of an iterative method towards strong (and more regular) solutions for incompressible Navier–Stokes equations with mass diffusion. In addition, some convergence rates for the error between the approximation and the exact solution will be given, for weak, strong and more regular norms. © 2006 Elsevier Inc. All rights reserved.