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

	Qualitative study for the p-Laplacian type diffusion-convection equation with the effect of an absorption source
International Journal of Nonlinear Analysis and Applications
مقاله 10، دوره 16، شماره 4، تیر 2025، صفحه 109-119 اصل مقاله (492.27 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.31245.4607
نویسندگان
Habeeb Abed Aal-Rkhais^* ؛ Dhuha K. Ajeel
Department of Mathematics, College of Computer Science and Mathematics, Iraq
چکیده
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.
کلیدواژه‌ها
p-Laplacian diffusion equation؛ rescaling technique؛ self-similarity؛ weak solution؛ interface
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