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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
C. F. Lee
Affiliation:
University of Queensland
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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
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 71 , Issue 1 , 1972 , pp. 1 - 7
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
Crank, J., 1955 a. The Mathematics of Diffusion, Ch. IX. Oxford: Clarendon Press. p. 152.Google Scholar
Crank, J., 1955 b. The Mathematics of Diffusion, Ch. IX. Oxford: Clarendon Press. pp. 166–175.Google Scholar
Lee, C. F., 1969. Ph.D. Thesis, University of Queensland.Google Scholar
Coddington, E. A. and Levinson, N., 1955. Theory of Ordinary Differential Equations, pp. 10–11. New York: McGraw-Hill.Google Scholar
Coddington, E. A. and Levinson, N., 1955 a. Theory of Ordinary Differential Equations, pp. 13–15.Google Scholar
Coddington, E. A. and Levinson, N., 1955 b. Theory of Ordinary Differential Equations, pp. 22–25.Google Scholar