Kelvin-Helmholtz and Rayleigh Taylor Instabilities

This lecture covers the Kelvin-Helmholtz and Rayleigh Taylor instabilities, starting with the inviscid assumption and the streamfunction formulation. It then delves into the kinematic boundary conditions, linearized equations, and perturbed kinematic boundary conditions. The presentation continues with the normal mode expansion, dispersion relation, and the solution to Laplace equation, providing insights into the instability conditions and eigenvalue problems.