Question: What is the derivative of the Lagrangian (of what system I don't particularly care right now) with respect to entropy (or to the time derivative of entropy)? Is this even a sensible question? Can we use the Euler-Lagrange equation for entropy?

#lagrangian #lagrangianMechanics #physics #physicsQuestion #entropy #eulerLagrangeEquation #eulerLagrangeEquations

#mathematics #Mathematik Having an amateurish interest in physics and mathemantics I came across the Euler-Lagrange equation in different books and https://en.wikipedia.org/wiki/Euler%E2%80%93Lagrange_equation , but was never confident I understood the proof. Recently I noticed that most of my problems came from (in my opinion) weird notation that tends to be used, so I wrote it up in a form that I can understand myself: https://pifpafpuf.de/2023-10/12.Euler_Lagrange_Equation.html

#eulerlagrangeequation