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1.—On the Existence of Solutions of a Nonlinear Differential Diffusion System.

Published online by Cambridge University Press:  14 February 2012

C. F. Lee
Affiliation:
University of Queensland

Synopsis

The existence and the properties of the solutions of a nonlinear differential system describing a diffusion system with concentration-dependent diffusion coefficients are investigated. It is shown that there exists at least one solution which is monotonie decreasing and asymptotically tends to the prescribed value.

Type
Research Article
Copyright
Copyright © Royal Society of Edinburgh 1972

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References

References to Literature

Crank, J., 1955. The Mathematics of Diffusion, Ch. IX. Oxford: Clarendon Press.Google Scholar
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Lee, C. F., 1969. Ph.D. Thesis, University of Queensland.Google Scholar
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