The study of hydrodynamic stability is fundamental to many subjects, ranging from geophysics and meteorology through to engineering design. This treatise covers both classical and modern aspects of the subject, systematically developing it from the simplest physical problems, then progressing chapter by chapter to the most complex, considering linear and nonlinear situations, and analysing temporal and spatial stability. The authors examine each problem both analytically and numerically: many chapters end with an appendix outlining relevant numerical techniques. All relevant fluid flows are treated, including those where the fluid may be compressible, or those from geophysics, or those that require salient geometries for description. Details of initial-value problems are explored equally with those of stability. As a result, the early transient period as well as the asymptotic fate for perturbations for a flow can be assessed. The text is enriched with many exercises, copious illustrations and an extensive bibliography and the result is a book that can be used with courses on hydrodynamic stability or as an authoritative reference for researchers.

‘… overall I am very impressed with this text. It provides a comprehensive account of modern stability theory … I have no doubt that in time it will be acknowledged as a valuable resource to both graduate students and established researchers alike.’

Source: Geophysical and Astrophysical Fluid Dynamics

'The book is certainly a welcome addition to the literature of hydrodynamic stability. It can also be used very well for teaching. This purpose is further assisted by the exercises provided at the end of each chapter. Over 450 references guide the way to even more detailed information.'

Source: ZAMM - Z. Angew. Math. Mech.

‘… the exercises at the end of each chapter are very well thought out and informative. … the authors have achieved their aims in setting out in a very coherent manner a thorough explanation of the up-to-date theory of hydrodynamic stability. The book will be of much interest to all postgraduate researchers in fluid dynamics and is an excellent reference text.‘

Source: Contemporary Physics

'… this book will without doubt acquire a high reputation as a detailed introduction to its subject and as a reference work.'

Source: Monatshefte für Mathematik