Stability and Transition in Shear Flows (Applied Mathematical Sciences) Book

Stability theory has seen rapid development over the past decade. This textbook gives a modern introduction to the hydrodynamic stability theory of shear flows. It treats both classical theories such as modal analysis, weakly nonlinear theory and resonances, and more recent developments such as non-modal analysis, receptivity and secondary instability theory. The last chapter addresses transition in shear flows and applies numerous techniques developed in the book to analyze and quantify transition scenarios for a variety of shear flows. Simple model problems to motivate mathematical concepts are used throughout the book, as are experimental results and computed illustrations to complement theoretical findings.

This text will be useful to graduate students, as well as be a valuable reference for researchers in the field of hydrodynamic stability theory or with an interest in recent developments in fluid dynamics. Additionally those who are involved in general and applied fluid mechanics may also find this book of interest.