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arXiv · 1002.4989

Well posedness of a stochastic hyperviscosity-regularized 3D Navier-Stokes equation

B. Ferrario
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Abstract

We analyse the well posedness of a stochastic hyperviscosity-regularized 3D Navier-Stokes equation; this is the Navier-Stokes equation in which the Laplace operator is replaced by its a-power for a>1. We prove existence and uniqueness for this equation assuming a>= 5/4.

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B. Ferrario. 2010-02-26. Well posedness of a stochastic hyperviscosity-regularized 3D Navier-Stokes equation. https://arxiv.org/abs/1002.4989

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