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arxiv: math/0609318 · v1 · submitted 2006-09-11 · 🧮 math.PR · math.AP

Existence of martingale and stationary suitable weak solutions for a stochastic Navier-Stokes system

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keywords existencesolutionsnavier-stokesprovedstationarysuitableweakbalance
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The existence of suitable weak solutions of 3D Navier-Stokes equations, driven by a random body force, is proved. These solutions satisfy a local balance of energy. Moreover it is proved also the existence of a statistically stationary solution.

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