Explore the foundations of Wavelet-inspired Nash's Iteration in this lecture by Vikram Giri, part of the program on Deterministic and Stochastic Analysis of Euler and Navier-Stokes Equations. Delve into advanced mathematical concepts related to fluid mechanics, focusing on nonlinear partial differential equations governing fluid flow. Examine recent groundbreaking techniques and seminal results in the field, including the Onsager conjecture, energy conservation in weak solutions of Euler equations, and developments in Navier-Stokes equations. Gain insights into statistical hydrodynamics, Hölder spaces, and stochastic fluid flow equations. Suitable for PhD students, postdocs, and faculty members working on mathematical aspects of fluid flow equations.