Upper bounds for the attractor dimension of damped Navier-Stokes equations in $\mathbb R^2$
Analysis of PDEs
2015-03-12 v1
Abstract
We consider finite energy solutions for the damped and driven two-dimensional Navier--Stokes equations in the plane and show that the corresponding dynamical system possesses a global attractor. We obtain upper bounds for its fractal dimension when the forcing term belongs to the whole scale of homogeneous Sobolev spaces from -1 to 1
Keywords
Cite
@article{arxiv.1503.03415,
title = {Upper bounds for the attractor dimension of damped Navier-Stokes equations in $\mathbb R^2$},
author = {Alexei Ilyin and Kavita Patni and Sergey Zelik},
journal= {arXiv preprint arXiv:1503.03415},
year = {2015}
}
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23 pages