Supersonic radiative heat wave driven by net flux from boundary

The radiative heat wave in matter is an important issue concerned by inertial confinement fusion(ICF) and astrophysics. However, accurate analytic diffusion wave solutions are difficult to obtain due to the strong nonlinearity of the radiation diffusion equation. With a perturbation technique, the heat front position and temperature of surface for arbitrary net driven flux time history is present. The result shows good agreement with the numerical simulation.