Observable full-horseshoes for Lagrangian flows advected by stochastic 2D Navier-Stokes equations
Dynamical Systems
2023-11-10 v1 Mathematical Physics
Analysis of PDEs
math.MP
Probability
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.
Keywords
Cite
@article{arxiv.2311.05193,
title = {Observable full-horseshoes for Lagrangian flows advected by stochastic 2D Navier-Stokes equations},
author = {Wen Huang and Jianhua Zhang},
journal= {arXiv preprint arXiv:2311.05193},
year = {2023}
}
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18 pages