What Is Adiabatic Change and How Does It Relate to the Laplacian?

[mikeasabsa]

what is it i cannot under stand this or other equation(Adiabatic Change p ⁢ V γ = const )

 

[Bob S]

I think it is a 4 dimensional Laplacian (x, y, z, and time).

 

[Bob S]

Hi Mike
The standard Laplacian in rectilinear coordinates is
del² E = d²E/dx² + d²E/dy² + d²E/dy² = 0

We add to it another term: -1/c² d²E/dt²

to get

box² E = d²E/dx² + d²E/dy² + d²E/dy² -1/c² d²E/dt²= 0

So the square box is the Laplacian in 4 coordinates: x, y, z, and t