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.
No takes yet. Share an insight, caveat, or question.
E. M. Barston (1970) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: