Classical stability theory is extended to include growth processes. The central role of the nonnormality of the linearized dynamical system in the stability problem is emphasized, and a generalized, stability theory is constructed that is applicable to...
An extension of classical stability theory to address the stability of perturbations to time-dependent systems is described. Nonormality is found to play a central role in determining the stability of systems governed by nonautonomous operators associated...
Data Assimilation, P. P. Brasseur and J. C. J. Nihoul Eds., Springer-Verlag, Berlin The goal of the project on stability of ocean flows is to develop the theory of linear stability appropriate for understanding the growth of perturbations in dynamical...
A remarkable phenomenon in turbulent flows is the spontaneous emergence of coherent large spatial scale zonal jets. In this work a comprehensive theory for the interaction of jets with turbulence, stochastic structural stability theory, is applied to the...
A generalized stability theory (GST) analysis of baroclinic shear flow is performed using primitive equations (PEs), and typical synoptic-scale midlatitudinal values of vertical shear and stratification. GST is a comprehensive linear stability theory that...
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...
Understanding the physical mechanism maintaining fluid turbulence remains a fundamental theoretical problem. The two-layer model is an analytically and computationally simple system in which the dynamics of turbulence can be conveniently studied; in this...
Turbulence in fluids is commonly observed to coexist with relatively large spatial and temporal scale coherent jets. These jets may be steady, vacillate with a definite period, or be irregular. A comprehensive theory for this phenomenon is presented based...
Stochastic structural stability theory (S3T) provides analytical methods for understanding the emergence and equilibration of jets from the turbulence in planetary atmospheres based on the dynamics of the statistical mean state of the turbulence closed at...
