Localization of thermal disturbances in nonlinear anisotropic media with absorption

Temperature fields and heat fluxes under the action of a pulsed point thermal-energy source are studied based on the analytical solution found for the first time to the problem of heat transfer in the anisotropic space with absorption, the characteristics of which depend on temperature. It is found that the heat transfer is of the wave type and the thermal-wave fronts have the shape of ellipses in a plane. Thermal energy sinks are taken into account, and thermal disturbances are localized inside an ellipse even as time tends to infinity. The results confirm the hypothesis of the localization of fronts of thermal disturbances and heat fluxes in heat-shield composites during their phase transformations under conditions of aero-gas-dynamic heating.