Publisher Summary This chapter discusses the qualitative properties of Navier–Stokes equations. It is known that for small Reynolds numbers, if a steady excitation is applied to the fluid then there is a unique stable steady state that actually appears for large t (t→∞). The chapter presents some new properties of the set of steady-state solutions to the Navier–Stokes equations of a viscous incompressible fluid. The chapter provides the description of Navier–Stokes equation and their functional setting. The results of Navier–Stokes equation on generic bifurcations are discussed in the chapter.