qualitative study for the p-laplacian type diffusion-convection equation with the effect of an absorption source

Within this paper, we study the initial growth of interfaces and asymptotic locally weak solutions by the construction of its self-similar solution to the cauchy problem for a parabolic p-laplacian type diffusion-convection equation with the effect of absorption source. the significant methods are applied in this work, techniques of blowing up, rescaling, and comparison principles in non-smooth domains. the importance of this model came through its applications in a variety of fields such as chemical process design, biophysics, plasma physics, quantum physics, and others.