%0 Journal Article
%T Qualitative study for the p-Laplacian type diffusion-convection equation with the effect of an absorption source
%J International Journal of Nonlinear Analysis and Applications
%I Semnan University
%Z 2008-6822
%A Aal-Rkhais, Habeeb Abed
%A Ajeel, Dhuha K.
%D 2025
%\ 04/01/2025
%V 16
%N 4
%P 109-119
%! Qualitative study for the p-Laplacian type diffusion-convection equation with the effect of an absorption source
%K p-Laplacian diffusion equation
%K rescaling technique
%K self-similarity
%K weak solution
%K interface
%R 10.22075/ijnaa.2023.31245.4607
%X 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.
%U https://ijnaa.semnan.ac.ir/article_8691_b46564ae53a7b64f3059082e855f4455.pdf