THE PROPERTY OF THE PROBLEM OF REACTION DIFFUSION WITH DOUBLE NONLINEARITY AT THE GIVEN INITIAL CONDITIONS

In work are received the oretical results on blow-up for a class of problems with additional linear and nonlinear diffusion and it would be interesting to understand reaction-diffusion profiles for these problems as well. Method of characteristics does not directly apply to such problems due to the diffusive nature of the dynamics. Special research techniques of the nonlinear parabolic equations which allow conducting rather detailed research blow up of solutions of a heat conduction equation with a source were developed.