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 language | English |
|---|---|
| Pages (from-to) | 183-198 |
| Number of pages | 16 |
| Journal | Archive for Rational Mechanics and Analysis |
| Volume | 154 |
| Issue number | 3 |
| DOIs | |
| State | Published - 20 Sep 2000 |
ASJC Scopus subject areas
- Analysis
- Mathematics (miscellaneous)
- Mechanical Engineering