This introductory physical and mathematical presentation of the Navier-Stokes equations focuses on unresolved questions of the regularity of solutions in three

NavierStokes equations describe the motion of fluids; they arise from applying Newtons second law of motion to a continuous function that represents fluid flow.

This second edition attempts to arrive as simply as possible at some central problems in the Navier-Stokes equations.

The objective of this self-contained book is two-fold. First, the reader is introduced to the modelling and mathematical analysis used in fluid mechanics, espec