On exact solutions for nonlinear diffusion with source term
type: Item
instance of: scholarly article
title: On exact solutions for nonlinear diffusion with source term
zbMATH Open document ID: 1018.35012
author: Samuel S. Okoya
published in: Indian Journal of Pure \& Applied Mathematics
publication date: 2003-09-09T00:00:00Z
review text: This paper deals with the nonlinear diffusion equation and source term with power-law dependence forms. The author obtains simple exact solutions, which are derived by suitable transformations and standard techniques for an arbitrary number of dimensions \(n\geq 0\). Here \(n=0,1\) and 2 corresponds to the slab, cylinder and sphere, respectively. The author shows that some of the solutions obtained in the paper exhibit uniqueness, multiplicity and the phenomenon of singularity, criticality, oscillation, extinction and blow up.
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35K55
zbMATH DE Number: 1874478
zbMATH Keywords: singularity
zbMATH Keywords: criticality
zbMATH Keywords: oscillation
zbMATH Keywords: extinction
zbMATH Keywords: blow up
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1874478