In this paper we consider the notion of determining projections for two classes of stochastic dissipative equations: a reaction-diffusion equation and a 2-dimensional Navier-Stokes equation. We define certain finite dimensional ob jects that can capture the asymptotic behavior of the related dynamical system. They are pro jections on a space of polynomial functions, generalizing the classical (but not very much studied in a stochastic context) concepts of determining modes, nodes and volumes.
Remarks on determining projections for stochastic dissipative equations
BERSELLI, LUIGI CARLO;FLANDOLI, FRANCO
1999-01-01
Abstract
In this paper we consider the notion of determining projections for two classes of stochastic dissipative equations: a reaction-diffusion equation and a 2-dimensional Navier-Stokes equation. We define certain finite dimensional ob jects that can capture the asymptotic behavior of the related dynamical system. They are pro jections on a space of polynomial functions, generalizing the classical (but not very much studied in a stochastic context) concepts of determining modes, nodes and volumes.File in questo prodotto:
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