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Observable full-horseshoes for Lagrangian flows advected by stochastic 2D Navier-Stokes equations

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arxiv 2311.05193 v1 pith:72NTMBC4 submitted 2023-11-09 math.DS math-phmath.APmath.MPmath.PR

Wen Huang , Jianhua Zhang This is my paper · ORCID
classification math.DSmath-phmath.APmath.MPmath.PR
keywords observableadvectedequationsfull-horseshoeslagrangiannavier-stokesstochasticballs
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In this paper, we mainly study the turbulence of Lagrangian flow advected by stochastic 2D Navier-Stokes equations. It is proved that this system has observable full-horseshoes. The observable full-horseshoe means that it is a kind of chaotic structure and occurs on any two disjoint non-empty closed balls.

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  1. Non uniform expansion and additive noise imply random horseshoe

    math.DS 2025-01 reject novelty 7.0 of 10

    Non-uniformly expanding maps with additive noise and a fully-positive-Lyapunov stationary measure are asserted to have dense random horseshoes, a random version of Smale's horseshoe.

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