Journal
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
Volume 154, Issue 3, Pages 183-198Publisher
SPRINGER
DOI: 10.1007/s002050000089
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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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