# Stochastic dissipative PDE ’ s and Gibbs measures

@inproceedings{Kuksin2000StochasticDP, title={Stochastic dissipative PDE ’ s and Gibbs measures}, author={Sergei Kuksin and Armen Shirikyan}, year={2000} }

- Published 2000

We study a class of dissipative nonlinear PDE’s forced by a random force η(t, x), with the space variable x varying in a bounded domain. The class contains the 2D Navier–Stokes equations (under periodic or Dirichlet boundary conditions), and the forces we consider are those common in statistical hydrodynamics: they are random fields smooth in x and stationary, short-correlated in time t. In this paper, we confine ourselves to “kick forces” of the form

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