We consider the so-called Ladyzhenskaya model of incompressible fluid, with an additional artificial smoothing term ɛΔ3. We establish the global existence, uniqueness, and regularity of solutions. Finally, we show that there exists an exponential attractor, whose dimension we estimate in terms of the relevant physical quantities, independently of ɛ > 0.
@article{bwmeta1.element.doi-10_2478_s11533-013-0242-8,
author = {Dalibor Pra\v z\'ak and Josef \v Zabensk\'y},
title = {On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {1264-1282},
zbl = {06176170},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0242-8}
}
Dalibor Pražák; Josef Žabenský. On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model. Open Mathematics, Tome 11 (2013) pp. 1264-1282. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-013-0242-8/
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