Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations
Analysis of PDEs
2020-11-03 v1
Abstract
We prove existence of the global attractor of the damped and driven 2D Euler--Bardina equations on the torus and give an explicit two-sided estimate of its dimension that is sharp as .
Cite
@article{arxiv.2011.00607,
title = {Sharp dimension estimates of the attractor of the damped 2D Euler-Bardina equations},
author = {Alexei Ilyin and Sergey Zelik},
journal= {arXiv preprint arXiv:2011.00607},
year = {2020}
}