On determining functionals for stochastic navier-stokes equations
Анотація
We prove the existence of a wide collection of finite sets of functionals that completely determine the long-term behaviour of solutions to 2D Navier-Stokes equations with random initial data and excited by an additive white noise. This collection contains finite sets of determining modes, nodes and local volume averages. We also show that determining functionals can be defined on only one of the components of the velocity vector. To characterize sets of determining functionals we invoke the concept of completeness defect. Our method is general and can be applied to other dissipative evolutionary infinite-dimensional equations driven by additive stochastic perturbations
Класифікація
Ідентифікатори
Рецензії (0)
Написати рецензіюРецензій ще немає. Будьте першим!
Схожі роботи
The Burgers-type equation driven by a stochastic measure
Схоже за: Mathematical Biology Tumor Growth · Stochastic processes and financial applications · Stability and Controllability of Differential Equations
On the Bidomain equations driven by stochastic forces
Схоже за: Mathematical Biology Tumor Growth · Stochastic processes and financial applications
The Burgers equation driven by a stochastic measure
Схоже за: Mathematical Biology Tumor Growth · Stochastic processes and financial applications
On a Differential Game in a Stochastic System
Схоже за: Mathematical Biology Tumor Growth · Stochastic processes and financial applications
Stochastic Equations in Formal Mappings
Схоже за: Mathematical Biology Tumor Growth · Stochastic processes and financial applications
Stochastic selection problem for a Stratonovich SDE with power non-linearity
Схоже за: Mathematical Biology Tumor Growth · Stochastic processes and financial applications