On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model

Dalibor Pražák; Josef Žabenský

Open Mathematics (2013)

  • Volume: 11, Issue: 7, page 1264-1282
  • ISSN: 2391-5455

Abstract

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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.

How to cite

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Dalibor Pražák, and Josef Žabenský. "On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model." Open Mathematics 11.7 (2013): 1264-1282. <http://eudml.org/doc/269498>.

@article{DaliborPražák2013,
abstract = {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.},
author = {Dalibor Pražák, Josef Žabenský},
journal = {Open Mathematics},
keywords = {Ladyzhenskaya fluid; Exponential attractor; Fractal dimension; Lyapunov exponents; exponential attractor; fractal dimension},
language = {eng},
number = {7},
pages = {1264-1282},
title = {On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model},
url = {http://eudml.org/doc/269498},
volume = {11},
year = {2013},
}

TY - JOUR
AU - Dalibor Pražák
AU - Josef Žabenský
TI - On the dimension of the attractor for a perturbed 3d Ladyzhenskaya model
JO - Open Mathematics
PY - 2013
VL - 11
IS - 7
SP - 1264
EP - 1282
AB - 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.
LA - eng
KW - Ladyzhenskaya fluid; Exponential attractor; Fractal dimension; Lyapunov exponents; exponential attractor; fractal dimension
UR - http://eudml.org/doc/269498
ER -

References

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