On the Uniform Convergence of the Solutions of the Navier-Stokes Equations
Tracy Yerkes Thomas · Proceedings of the National Academy of Sciences · 1943
Let 9) be a fixed region of space completely filled by a viscous fluid.We assume 9) to be finite and to be bounded by one or more surfaces each of which may be at rest or in motion.In the case of a fluid occupying an infinite region, for example, a hypothetical infinite pipe, T, may be taken to be the periodicity cell which it is customary to introduce for convenience in such discussions.Denote by 4i" (a = 1, 2, 3) and p the contravariant velocity compo-