Hello, I am looking to solve the PDE $$ \frac{1}{r} \frac{\partial}{\partial r} \left( r \frac{\partial T}{\partial r} \right) = \frac{1}{\alpha} \frac{\partial T}{\partial t}$$ in Mathematica, but I can't figure out how to input the $ \frac{\partial}{\partial r}\left( r \frac{\partial T}{\partial r} \right) $ part. Is it correct to nest the derivatives like below?
(1/r) * D[r * D[T[r,t], r], r] - (1/\[Alpha][r]) * D[T[r,t], t] == 0
Furthermore, how do I indicate to Mathematica that I am working in cylindrical coordinates instead of Cartesian?
Thanks.
