An energy principle for dissipative fluids
- 4 June 1970
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of Fluid Mechanics
- Vol. 42 (1) , 97-109
- https://doi.org/10.1017/s002211207000109x
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.Keywords
This publication has 3 references indexed in Scilit:
- Stability of the Resistive Sheet PinchPhysics of Fluids, 1969
- Stability of dissipative systemsCommunications on Pure and Applied Mathematics, 1969
- Electrohydrodynamic Rayleigh-Taylor Bulk InstabilityPhysics of Fluids, 1969