Asymptotic Analysis and Boundary Layers [Paperback]

This book presents a new method of asymptotic analysis of boundary-layer problems, the Successive Complementary Expansion Method (SCEM). The first part is devoted to a general presentation of the tools of asymptotic analysis. It gives the keys to understand a boundary-layer problem and explains the methods to construct an approximation. The second part is devoted to SCEM and its applications in fluid mechanics, including external and internal flows.

to Singular Perturbation Problems.- Boundary Layer Structure.- Asymptotic Expansions.- Successive Complementary Expansion Method.- Ordinary Differential Equations.- High Reynolds Number Flows.- Interactive Boundary Layer.- Applications of Interactive Boundary Layer Models.- Regular Forms of Interactive Boundary Layer.- Turbulent Boundary Layer.- Channel Flow.- Conclusion.

From the book reviews:

The book falls into two quite distinct parts, reflecting the expertises of the two authors. The first part gives a detailed and formal description of asymptotic methods, whilst the second part considers a number of fluid mechanics problems. & There are numerous problems presented at the end of each chapter, which are accompanied by extremely comprehensive solutions & . this book should prove a useful text for final year undergraduate students and for postgraduate (both taught and research) students wishing to master modern asymptotic methods. (P. W. Duck, Mathematical Reviews, Issue 2008 a)

The novelty of this book lies in the use of thorough and advanced singular perturbation methods in combination with detailed applications to fluid mechanics. & In the combination of asymptotics and fluid mechanics in such a fundamental and detailed approach, the book is unique in the science literature. (Ferdinand Verhulst, Dynamical Systems Magazine, October, 2007)

Asymptotic Analysis and Boundary Layers is an extended English edition of Analyse asympl¥