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Publications [#243841] of Jonathan C. Mattingly

Papers Published

1. Hairer, M; Mattingly, JC, Ergodic properties of highly degenerate 2D stochastic Navier-Stokes equations, Comptes Rendus Mathématique. Académie des Sciences. Paris, vol. 339 no. 12 (2004), pp. 879-882, Elsevier BV, ISSN 1631-073X (ISSN: 1631-073X.) [MR2111726], [doi]
   (last updated on 2024/04/19)

   Abstract:
   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. © 2004 Académie des sciences. Published by Elsevier SAS. All rights reserved.