Dimension estimates for the attractor of the regularized damped Euler equations on the sphere
Analysis of PDEs
2021-07-23 v1 Spectral Theory
Abstract
We prove existence of the global attractor of the damped and driven Euler--Bardina equations on the 2D sphere and on arbitrary domains on the sphere and give explicit estimates of its fractal dimension in terms of the physical parameters.
Keywords
Cite
@article{arxiv.2107.10779,
title = {Dimension estimates for the attractor of the regularized damped Euler equations on the sphere},
author = {Alexei Ilyin and Anna Kostianko and Sergey Zelik},
journal= {arXiv preprint arXiv:2107.10779},
year = {2021}
}