Analysis of the Navier-Stokes Problem

This book revises and expands upon theprior edition, TheNavier-Stokes Problem. Thefocus ofthis book is toprovide a mathematical analysis oftheNavier-Stokes Problem (NSP) in R^3 without boundaries. Before delving intoanalysis, theauthor begins byexplaining thebackground and history oftheNavier-Stokes Problem. This edition includes new analysis and an a priori estimate ofthesolution. Theestimate proves thecontradictory nature oftheNavier-Stokes Problem. Theauthor reaches theconclusion that thesolution totheNSP withsmooth and rapidly decaying data cannot exist forall positive times. By proving theNSP paradox, this book provides a solution tothemillennium problem concerning theNavier-Stokes Equations and shows that they are physically and mathematically contradictive.