Solutions of the Navier-Stokes equations constructed by artifi cial compressibility approximation are suitable

In this paper we prove that weak solution constructed by artificial compressibility method are suitable in the sense of Scheffer, [18], [19]. Using Hilbertian setting and Fourier transform with respect to the time we obtain non- trivial estimates for the pressure and the time derivative of the velocity field which allow us to pass into the limit