The Geometry of Cauchy's Fluxes

Reuven Segev (1)

1 Department of Mechanical Engineering [Beer-Sheva]

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.

Domaines: Mécanique [physics.med-ph]

Reuven Segev. The Geometry of Cauchy's Fluxes. Archive for Rational Mechanics and Analysis, 2000, 154 (3), pp.183-198. ⟨hal-01060933⟩