This book presents the asymptotic theory of separate flows in a systematic account.Boundary-layer separation from a rigid body surface is one of the fundamental problems of classical and modern fluid dynamics. The major successes achieved since the late 1960's are in many ways associated with the use of asymptotic methods. The most fruitful of these has been the method of matched asymptotic expansions, which has been widely used in mechanics and mathematical physics. This book will be the first to present the asymptotic theory of separated flows in a systematic accountThe book will serve as a useful introduction to the theory, and will draw attention to the new possibilities that application of the asymptotic approach provides.Boundary-layer separation from a rigid body surface is one of the fundamental problems of classical and modern fluid dynamics. The major successes achieved since the late 1960's are in many ways associated with the use of asymptotic methods. The most fruitful of these has been the method of matched asymptotic expansions, which has been widely used in mechanics and mathematical physics. This book will be the first to present the asymptotic theory of separated flows in a systematic accountThe book will serve as a useful introduction to the theory, and will draw attention to the new possibilities that application of the asymptotic approach provides.Boundary-layer separation from a rigid body surface is one of the fundamental problems in classical and modern fluid dynamics. This book, a revised translation of the classic Russian edition, takes state-of-the-art triple-deck boundary layer theory to a broad new audience. The authors present this important theory in a unique, systematic account that covers numerical methods for solving the equations of interaction theory and the theory of unsteady separation. The book will serve as a useful introduction to the theory, drawing attention to the new possibilities that application of the asymptotic approalS.