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.

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.