Preface:Recent developments and applications on the theory of viscous fluid flow and related topics

Abstract

Waves follow our boat as we meander across the lake, and turbulent air currents follow our flight in a modern jet. Mathematicians and physicists believe that an explanation for and the prediction of both the breeze and the turbulence can be found through an understanding of solutions to the Navier-
Stokes equations. Although these equations were written down in the 19th Century, our understanding of them remains minimal. The challenge is to make substantial progress toward a mathematical theory which will unlock the secrets hidden in the Navier-Stokes equations. Thus, the papers published in this special issue address topics related to the Navier-Stokes equations, transition to turbulence, and some other related problems. These papers cover topics in applied mathematics, and their applications to science and engineering.