I have this problem:
A homogeneous body occupying the solid region D is completely insulated. Its initial temperature is f(x). Find the steady-state temperature that it reaches after a long time. (Hint: No heat is gained or lost)
From what I understand the initial condition is written as
and since the region is insulated the neumann condition is interpreted to be
At this point, how would i a derive a means to define a steady-state temperature?