The geometry of Cauchy's fluxes

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29 Scopus citations

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.

Original languageEnglish
Pages (from-to)183-198
Number of pages16
JournalArchive for Rational Mechanics and Analysis
Volume154
Issue number3
DOIs
StatePublished - 20 Sep 2000

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering

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