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Maximum and minimum principles for capillary surface problems with prescribed contact angle

Published online by Cambridge University Press:  17 February 2009

N. Anderson  and
A. M. Arthurs
N. Anderson
Affiliation:
Department of Mathematics, University of York, Heslington, York, England, YO1 5DD
A. M. Arthurs
Affiliation:
Department of Mathematics, University of York, Heslington, York, England, YO1 5DD
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Abstract

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Maximum and minimum principles for capillary surface problems with prescribed contact angle are derived in a unified manner from canonical variational theory. The results are illustrated by calculations for a liquid in a cylindrical container with circular cross-section.

Type
Research Article
Information
The ANZIAM Journal , Volume 20 , Issue 3 , June 1978 , pp. 285 - 289
Copyright
Copyright © Australian Mathematical Society 1978

References

[1]Adams, N. K., The physics and chemistry of surfaces (New York, Dover, 1968).Google Scholar
[2]Arthurs, A. M., Complementary variational principles (Oxford, Clarendon Press, 1970).Google Scholar
[3]Spruck, J., Comm. Pure Appl. Math. 28 (1975), 189–200.Google Scholar