Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations
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چکیده
This note presents the results from “Ergodicity of the degenerate stochastic 2D Navier-Stokes equation” by M. Hairer and J. C. Mattingly. We study the Navier-Stokes equation on the two-dimensional torus when forced by a finite-dimensional Gaussian white noise and give conditions under which the system is ergodic. In particular, our results hold for specific choices of four-dimensional Gaussian white noise.
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تاریخ انتشار 2004