International Journal of Nonlinear Analysis and Applications

Qualitative study for the p-Laplacian type diffusion-convection equation with the effect of an absorption source

Articles in Press

Document Type : Research Paper

Authors

Department of Mathematics, College of Computer Science and Mathematics, Iraq

10.22075/ijnaa.2023.31245.4607

Abstract

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.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 09 May 2024
  • Receive Date: 18 July 2023
  • Accept Date: 13 October 2023