The Geometry of Cauchy's Fluxes |
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| Authors: | Reuven Segev |
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| Affiliation: | (1) Department of Mechanical Engineering, Ben-Gurion University, P.O.Box 653, Beer-Sheva, 84105, Israel e-mail: rsegev@bgumail.bgu.ac.il, IL |
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| Abstract: | A formulation of the Cauchy theory for balance laws of scalar valued quantities is considered from a general geometric point of view. It is assumed only that the ambient space is an orientable m-dimensional manifold. The analog of the usual flux vector field is an (m−1)-differential form. Both the Cauchy theorem and differential version of the balance laws are formulated in this context. Accepted December 9, 1999?Published online July 12, 2000 |
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