Analysis of the Navier-Stokes Problem

Focusing on the mathematical intricacies of the Navier-Stokes Problem in R^3 without boundaries, this revised edition offers a comprehensive analysis that includes historical context and new findings. The author presents an a priori estimate demonstrating the inherent contradictions within the problem, concluding that solutions with smooth, rapidly decaying data cannot persist over time. By addressing the NSP paradox, this work contributes significantly to the millennium problem surrounding the Navier-Stokes Equations, highlighting their physical and mathematical inconsistencies.