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

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

2010-02-26

arxiv.org/abs/1002.4989v1

Mathematics

Analysis of PDEs

11 pages; this is a more extended version of what will appear in the Proceedings of the conference "Stochastic partial differe

Scientific paper

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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