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Surface-concentration-dependent nonlinear diffusion

Published online by Cambridge University Press:  16 July 2009

J. R. King
J. R. King
Affiliation:
Department of Theoretical Mechanics, University of Nottingham, Nottingham NG7 2RD, UK
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Abstract

We discuss a nonlinear diffusion equation in which the diffusivity has a non-local dependence on the surface concentration. Exact results are obtained for some special cases by means of similarity methods and non-local transformations. We indicate some of the implications the analysis has for more general cases.

Information

Type
Research Article
Information
European Journal of Applied Mathematics , Volume 3 , Issue 1 , March 1992, pp. 1 - 20
Copyright
Copyright © Cambridge University Press 1992

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