Stokes first problem: hydrodynamic separation of variables

This lecture covers the application of separation of variables in solving the Stokes first problem in hydrodynamics, discussing the limitations of Fourier and Laplace transforms, the magic ansatz method, and the concept of self-similarity in aggregation of variables. The instructor explains the process of transforming the problem into a single variable and the importance of non-dimensionalization. The lecture also touches on linear equations, initial conditions, and diffusion length. Various methods such as polynomial and sinusoidal ansatz are explored, along with the use of Wolfram for solutions.