The Navier-Stokes Problem in the 21st Century

A devoted discussion on the Navier-Stokes equations in light of the Clay Milennium Prize, this book offers both historical and technical information and provides a self-contained guide to the role of harmonic analysis in the PDEs of fluid mechanics. It looks at the meaning of the equation, problems currently at stake, and recent progress. It includes classical results on local existence, studies criterion for regularity or uniqueness of solutions, and discusses related equations in gas kinetics and fluid mechanics.