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Unique Ergodicity for Fractionally Dissipated, Stochastically Forced 2D Euler Equations
Unique Ergodicity Fractionally Dissipated Stochastically Forced 2D Euler Equations
2014/4/3
We establish the existence and uniqueness of an ergodic invariant measure for 2D fractionally dissipated stochastic Euler equations on the periodic box, for any power of the dissipation term.
Empirical Estimators for Stochastically Forced Nonlinear Systems: Observability, Controllability and the Invariant Measure
Empirical Estimators Stochastically Forced Nonlinear Systems Invariant Measure Optimization and Control
2012/4/18
We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation tha...
A Simple Box Model of Stochastically Forced Thermohaline Flow
Simple Box Model two-box model Thermohaline Flow freshwater flux
2008/12/16
A modified Stommel two-box model is considered as a minimal representation of the buoyancy-driven ocean circulation. In the limit of fast temperature relaxation only the salinity evolves in time while...
Substantial interannual to decadal variability is observed in the properties of subtropical mode water of the North Atlantic. In this study the response of mode water to stochastic atmospheric forcing...