Article ID Journal Published Year Pages File Type
1156982 Stochastic Processes and their Applications 2008 35 Pages PDF
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.

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Physical Sciences and Engineering Mathematics Mathematics (General)
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