Weak and Strong Solutions of the Navier-Stokes Initial Value Problem
Weak and Strong Solutions of the Navier-Stokes Initial Value Problem
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.