We consider the problem of fast forward evolution of the processes described
in terms of the heat equation. The matter is considered on an adiabatically
expanding time-dependent box. Attention is paid to acceleration of heat
transfer processes. So called shortcuts to adiabaticity, implying fast
forwarding of the adiabatic states are studied. Heat flux and temperature
profiles are analyzed for standard and fast forwarded regimes

Matrasulov, J.