On the isovectors of a class of nonlinear diffusion equations
type: Item
instance of: scholarly article
title: On the isovectors of a class of nonlinear diffusion equations
zbMATH Open document ID: 0625.76097
DOI: 10.1016/0020-7225(86)90134-5
published in: International Journal of Engineering Science
publication date: 1986-01-01T00:00:00Z
review text: A class of nonlinear diffusion equations is expressed in terms of an ideal of exterior differential forms. The components of the associated isovector field are constructed by using its transport property under Lie's derivative. The solution of the corresponding orbital equations generate an invariant group of transformations which reduce the nonlinear diffusion equation to an ordinary differential equation. For the problem of heat propagation, in an initially cool infinite media, due to a plane source, an exact solution is derived.
Mathematics Subject Classification ID: 76R50
zbMATH DE Number: 4016505
zbMATH Keywords: class of nonlinear diffusion equations
zbMATH Keywords: exterior differential forms
zbMATH Keywords: isovector field
zbMATH Keywords: Lie's derivative
zbMATH Keywords: invariant group of transformations
zbMATH Keywords: initially cool infinite media
zbMATH Keywords: exact solution
author: Kashmiri L. Chowdhury
MaRDI profile type: Publication
full work available at URL: 0020-7225(86)90134-5
OpenAlex ID: W2055619767
cites work: Geometric Approach to Invariance Groups and Solution of Partial Differential Systems
cites work: Q3899205
cites work: Isovector fields for problems in the mechanics of solids and fluids
cites work: Isovector fields and self-similar solutions for power law creep
cites work: Similarity methods for differential equations
description: scientific article; zbMATH DE number 4016505