Fluid mechanics is one of the greatest accomplishments of classical physics. The Navier-Stokes equations, first derived in the eighteenth century, serve as an accurate mathematical model with which to describe the flow of a broad class of real fluids. Not only is the subject of interest to mathematicians and physicists, but it is also indispensable to mechanical, aeronautical, and chemical engineers, who have to apply the equations to real-world examples, such as the flow of air around an aircraft wing or the motion of liquid droplets in a suspension. In this book, which first appeared in...
Fluid mechanics is one of the greatest accomplishments of classical physics. The Navier-Stokes equations, first derived in the eighteenth century, ...
Content and Aims of this Book Earlier drafts of the manuscript of this book (James A. Boa was then coau- thor) contained discussions of many methods and examples of singular perturba- tion problems. The ambitious plans of covering a large number of topics were later abandoned in favor of the present goal: a thorough discussion of selected ideas and techniques used in the method of matched asymptotic expansions. Thus many problems and methods are not covered here: the method of av- eraging and the related method of multiple scales are mentioned mainly to give reasons why they are not discussed...
Content and Aims of this Book Earlier drafts of the manuscript of this book (James A. Boa was then coau- thor) contained discussions of many methods a...
