International Journal of Nonlinear Analysis and Applications

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

Document Type : Research Paper

Authors

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

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
Volume 16, Issue 4
April 2025
Pages 109-119
  • Receive Date: 18 July 2023
  • Accept Date: 13 October 2023