On Dissipative Systems and Related Variational Principles
- 15 August 1931
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 38 (4) , 815-819
- https://doi.org/10.1103/physrev.38.815
Abstract
A given set of differential equations is always included in a set derivable from a variational principle. In the case of a set of equations representing a dissipative physical system the complementary set of equations may represent a second physical system which absorbs the energy dissipated by the first. This is illustrated by an example in which the total kinetic energy is never negative only when the initial conditions for the second system are related to those for the first.Keywords
This publication has 2 references indexed in Scilit:
- Dissipative Dynamical SystemsProceedings of the National Academy of Sciences, 1931
- LXXVII.On the steady motion of viscous, incompressible fluids; with particular reference to a variation principleJournal of Computers in Education, 1929