Applied Analysis of the Navier-Stokes EquationsThe Navier Stokes equations are a set of nonlinear partial differential equations that describe the fundamental dynamics of fluid motion. They are applied routinely to problems in engineering, geophysics, astrophysics, and atmospheric science. This book is an introductory physical and mathematical presentation of the Navier Stokes equations, focusing on unresolved questions of the regularity of solutions in three spatial dimensions, and the relation