PHASE PORTRAIT ANALYSIS FOR NAVIER–STOKES EQUATIONS IN A STRIP WITH OMITTED PRESSURE TERM

Abstract

In this paper, we study Navier – Stokes Equations in an infinite strip . We used the Uniformly Local Spaces as with focus on model situation where pressure has been omitted in the momentum equation. We obtain a priori estimates for the solutions and use the phase – portrait analysis to obtain bounds for them. We caution that the method used in this paper cannot be applied in general situation but is peculiar to only circumstances where the pressure term has been artificially removed.