Encyclopedia of Neuroscience

2009 Edition
| Editors: Marc D. Binder, Nobutaka Hirokawa, Uwe Windhorst

Cauchy’s Theorem

Reference work entry
DOI: https://doi.org/10.1007/978-3-540-29678-2_846

Definition

If the flux of a physical quantity governed by a standard form of the balance law is assumed to depend on the boundary only through its local normal vector, then this dependence is actually linear. As a consequence of this important theorem, all fluxes are governed by linear operators (vectors and tensors).

 Mechanics

Copyright information

© Springer-Verlag GmbH Berlin Heidelberg 2009