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The Geometry of Cauchy's Fluxes

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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.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Ben-Gurion University, P.O.Box 653, Beer-Sheva, 84105, Israel e-mail: rsegev@bgumail.bgu.ac.il, , , , , , IL

    Reuven Segev

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  1. Reuven Segev
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Accepted December 9, 1999¶Published online July 12, 2000

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Segev, R. The Geometry of Cauchy's Fluxes. Arch. Rational Mech. Anal. 154, 183–198 (2000). https://doi.org/10.1007/s002050000089

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  • DOI: https://doi.org/10.1007/s002050000089

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