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arXiv · 2303.05027

Full-horseshoes for the Galerkin truncations of 2D Navier-Stokes equation with degenerate stochastic forcing

Wen Huang·Jianhua Zhang
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Abstract

In this paper, we mainly study the turbulence of Galerkin truncations of 2D Navier-Stokes equation under degenerate stochastic forcing and large-scale. We use a kind of chaotic structure named full-horseshoes to describe it. It is proved that if the stochastic forcing satisfies some kind of hypoelliptic condition, then the system has full-horseshoes.

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Wen Huang, Jianhua Zhang. 2023-03-09. Full-horseshoes for the Galerkin truncations of 2D Navier-Stokes equation with degenerate stochastic forcing. https://arxiv.org/abs/2303.05027

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