Persistence of Stability in Lagrangian Systems
- 1 July 1961
- journal article
- research article
- Published by AIP Publishing in Physics of Fluids
- Vol. 4 (7) , 842-846
- https://doi.org/10.1063/1.1706414
Abstract
It is shown for a large class of Lagrangian systems that a steady state configuration of the system which is linearly stable remains so under a small variation of the steady state, to all orders of perturbation theory in the variation. The principle is applied to two special systems: an incompressible ideal fluid, and a gas of charged particles interacting through their average fields.Keywords
This publication has 4 references indexed in Scilit:
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- On Hydromagnetic Stability of Stationary EquilibriaReviews of Modern Physics, 1960
- A variational principle and an energy theorem for small-amplitude disturbances of electron beams and of electron-ion plasmasAnnals of Physics, 1958
- On Hamilton’s principle for perfect compressible fluidsPublished by American Mathematical Society (AMS) ,1949