Can you give me an idea what is meant with dissipative partial differential equations?
I am no phycist (and do not know the difference between initial energy to final energy), but wikipedia told me that
A dissipative process is a process in which energy (internal, bulk flow kinetic, or system potential) is transformed from some initial form to some final form; the capacity of the final form to do mechanical work is less than that of the initial form. For example, heat transfer is dissipative because it is a transfer of internal energy from a hotter body to a colder one.
Now I wonder what a dissipative PDE means (mathematically).