  We consider compressible fluid flow on an evolving surface with a piecewise
Lipschitz-continuous boundary from an energetic point of view. We employ both
an energetic variational approach and the first law of thermodynamics to make a
mathematical model for compressible fluid flow on the evolving surface.
Moreover, we investigate the boundary conditions in co-normal direction for our
fluid system to study the conservation and energy laws of the system.
