Stability of Uncertain Flows

Perturbation growth in uncertain systems is examined and related to previous work in which linear stability 
concepts were generalized from a perspective based on the nonnormality of the underlying linear operator. In 
this previous work the linear...

Perturbation growth in uncertain systems associated with fluid flow is examined concentrating on deriving, solving, and interpreting equations governing the ensemble mean covariance. Covariance evolution equations are obtained for fluctuating operators...

In studies of perturbation dynamics in physical systems, certain specification of the gov-
erning perturbation dynamical system is generally lacking, either because the perturba-
tion system is imperfectly known or because its specification is...