NONLINEAR PROPERTIES OF THE TEMPERATURE GRADIENT IN PROBLEMS OF WAVE HEAT TRANSFER WITH MOVING BOUNDARIES O. N. Shablovskii UDC 536.2.01 High-intensity thermal phenomena for one-dimensional and self-similar two-dimensional versions are the object of investigation. The effect of the velocity of motion of the boundaries and the degree of nonstationarity of the thermal process on the behavior of the temperature gradient is considered. The conditions for the appearance of a gradient catastrophe on the boundary of a moving two-dimensional region are analyzed. JEPTER7492019993 JEPTER749203