The first comprehensive contribution to the field of hydrodynamic instabilities in decades, this book is both a fundamental graduate resource and an authoritative reference volume. The primary focus of turbulence mixing has important applications in a wide range of disciplines including physics, engineering, meteorology, and oceanography.

Dr Ye Zhou is a Physicist at Lawrence Livermore National Laboratory in California, having previously worked as a Senior Staff Scientist at the Institute for Computer Applications in Science and Engineering, NASA Langley Research Center. He has published over 130 peer-reviewed publications and is a regular invited speaker at major international conferences. He is a fellow of the American Physical Society and currently serves as an associate editor of Computers & Fluids and an editor of Physica D: Nonlinear Phenomena.

Part I. Fundamentals: 1. A first glimpse of RT, RM & KH instabilities; 2. The linear stage for a single mode; 3. The nonlinear stage for a single mode; 4. Multimode instabilities: linear and nonlinear regimes; 5. Global features from the lens of integrated mixing measurements; 6. Internal dynamics from the lens of statistical mixing measurements; 7. Elementary aspects of turbulent flows; 8. Transition to turbulence; Part II. Hydrodynamics of Complex Flows: 9. Influence of initial conditions; 10. Flow properties; 11. Rotation and time-dependent acceleration; 12. Direction, strength, and shape of incident shock waves; 13. Reshock and multi-shocks; 14. Combined instabilities; 15. Geometrical configurations; 16. Convergent/divergent geometry; 17. Magnetohydrodynamic fluid instabilities; Part III. From the Microscopic to Cosmic Scales: 18. High energy density physics; 19. Inertial confinement fusion implosion; 20. Laboratory applications; 21. Astrophysical and space applications; 22. Mix models; 23. Numerical simulations of mixing; 24. Does 2D turbulence resemble 3D turbulence?; References; Index.