Continuity Equations: Internal Entropy Production

This lecture covers the concept of continuity equations, focusing on internal entropy production. The instructor explains the relationship between current density, gradient, divergence, and the continuity equation in various coordinate systems. The lecture delves into the calculation of density and current in different contexts, emphasizing the importance of understanding the internal entropy production. Key topics include scalar functions, vector quantities, and the implications of continuity equations in the context of internal energy.