Explore the intricacies of turbulence energy spectrum in this 52-minute lecture by Jayanta K. Bhattacharjee from the International Centre for Theoretical Sciences. Delve into homogeneous isotropic turbulence, the universal range, and stochastic models. Examine the challenges of scale, eddy viscosity, and perturbation theory. Investigate the stably stratified fluid with Bolgiano-Obukhov scaling, energy balance, and the Bolgiano limit. Learn about Kolmogorov's argument, scalar models, and transfer integrals. Gain insights into the crossover phenomenon and infrared problem solutions in turbulence studies.