Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1156982 | Stochastic Processes and their Applications | 2008 | 35 Pages |
Abstract
We study the three-dimensional stochastic Navier–Stokes equations with additive white noise, in the context of spatially homogeneous solutions in R3R3, i.e. solutions with a law invariant under space translations. We prove the existence of such a solution, with the additional property of being suitable in the sense of Caffarelli, Kohn and Nirenberg: it satisfies a localized version of the energy inequality.
Keywords
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Arnaud Basson,