Abstract
An energy principle is presented which gives necessary and sufficient conditions for exponential stability for a large class of dissipative systems. The maximal growth rate Ω of an unstable system is shown to be the least upper bound of a certain functional, giving a variational expression for Ω. These results are used to discuss the gravitational stability of incompressible viscous fluids and resistive magnetofluids in arbitrary geometries.
Publisher
Cambridge University Press (CUP)
Subject
Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics
Reference5 articles.
1. Chandrasekhar, S. 1961 Hydrodynamic and Hydromagnetic Stability .Oxford University Press.
2. Barston, E. M. 1969a Phys. Fluids,12,2162.
3. Barston, E. M. 1969b Comm. Pure and Appl. Math. 22,62.
4. Barston, E. M. 1970 Phys. Fluids. (To be published.)
5. Turnbull, R. J. & Melcher, J. R. 1969 Phys. Fluids,12,1160.
Cited by
33 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献