Complementary variational principles for a generalized diffusion equation-Reference-Cited by-同舟云学术

Complementary variational principles for a generalized diffusion equation

Published:1968-03-19 Issue:1475 Volume:303 Page:497-502
ISSN:0080-4630
Container-title:Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
language:en
Short-container-title:Proc. R. Soc. Lond. A

Author:

Abstract

Complementary variational principles for a general class of diffusion problems are presented. The theory is illustrated by the electrostatic field and it is shown that Dirichlet’s and Thomson’s principles arise in a complementary manner. A generalized (variable dielectric) form of Thomson’s principle is also derived.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Link

https://royalsocietypublishing.org/doi/pdf/10.1098/rspa.1968.0064

Reference4 articles.

1. Proc. Roy;Soc. A,1967

2. Courant R . & H ilbert D. 1953 Interscience. Methods of mathematical physics vol. I. New Y ork:

3. N o b le B . 1964 Univ. Wisconsin Math. Res. Center Rep. no. 473.

4. J;Rail L. B.;Math. Anal. Appl.,1966

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