Spatially homogeneous solutions of 3D stochastic Navier-Stokes equations and local energy inequality

Arnaud Basson

Stochastic Processes and their Applications, 2008, vol. 118, issue 3, 417-451

Abstract: We study the three-dimensional stochastic Navier-Stokes equations with additive white noise, in the context of spatially homogeneous solutions in , 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: Stochastic; Navier-Stokes; equations; Spatially; homogeneous; solutions; Local; energy; inequality; Turbulence (search for similar items in EconPapers)
Date: 2008
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