“Yet not every solution of the equations of motion, even if it is exact, can actually occur in Nature. The flows that occur in Nature must not only obey the equations of fluid dynamics, but also be stable” - Landau & Lifshitz, 1959

1. Introduction
2. Kelvin-Helmholtz and Rayleigh-Taylor instabilities
3. Capillary instability
4. Thermal instabilities
5. Centrifugal instabilities
6. Inviscid instability of parallelshearflows
7. Viscous instability of parallel shear flows
8. Nonlinear theory
9. Additional topics (optional)

• Drazin, P.G. and Reid, W.H. Hydrodynamic Stability. 2nd ed. Cambridge (2004)
• Drazin, P.G. Introduction to Hydrodynamic Stability. Cambridge (2002)
• Charru, F. Hydrodynamic Instabilities. Cambridge
• Chandrasekhar, S. Hydrodynamic and Hydromagnetic Stability. Dover
• Schmid P.J., Henningson, D.S. Stability and Transition in Shear Flows. Springer
• Criminale, W.O., Jackson, T.L., Joslin, R.D. Theory and Computation in Hydrodynamic Stability. Cambridge University Press
• White, F.M. Viscous Fluid Flows. McGraw-Hill