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Qualitative Properties of Navier-Stokes Equations

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DOI: 10.1016/s0304-0208(08)70880-6

Abstract

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.

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