Lecture
This lecture covers the concepts of transient and spatial growth in flow instabilities, including Rayleigh-Taylor, Rayleigh Plateau, Rayleigh-Benard, Taylor Couette-Centrifugal instability, Kelvin-Helmholtz, and the inflection point theorem. It also discusses eigenvalues, eigenvectors, normal operators, damping rates, and the influence of confinement on instability. The lecture delves into dispersion relations, shear layer instability, hyperbolic tangent mixing layers, and the necessary conditions for instability in parallel flow concepts.