This paper reviews the existence, uniqueness and regularity of weak and strong solutions of the Navier-Stokes system. For this purpose we emphasize semigroup theory and the theory of the Stokes operator. We use dimensional analysis to clarify the meaning of the results for the solutions.
Cite this article
Yoshikazu Giga, Weak and Strong Solutions of the Navier-Stokes Initial Value Problem. Publ. Res. Inst. Math. Sci. 19 (1983), no. 3, pp. 887–910