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

2023/11/09 by Wen Huang, Huang, Wen, Zhang, Jianhua
Economics, Econometrics and Finance · Engineering · Mathematics · #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics and Turbulent Flows #Mathematical Physics (math-ph) #Navier-Stokes equation solutions #Probability (math.PR) #Stochastic processes and financial applications

paper · pdf · doi:10.48550/arxiv.2311.05193

openalex publication_date 2023/11/09 · openalex created_date 2023/11/11 · openalex updated_date 2026/07/28

Abstract

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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