| Issue |
ESAIM: M2AN
Volume 34, Number 5, September/October 2000
|
|
|---|---|---|
| Page(s) | 923 - 934 | |
| DOI | https://doi.org/10.1051/m2an:2000109 | |
| Published online | 15 April 2002 | |
Bipolar Barotropic Non-Newtonian Compressible Fluids
1
Mathematical Institute of the Academy of Sciences,
Žitná 25, 11567 Prague 1, Czech Republic.
2
Institute of Analysis and Numerics,
Otto-von-Guericke-Universität Magdeburg,
Universitätsplatz 2, 39 106 Magdeburg,
Germany.
3
Institute of Mathematics, Faculty of Mechanical
Engineering, Technical University of Brno, Technická 2,
616 39 Brno, Czech Republic.
Received:
3
June
1999
Revised:
5
May
2000
We are interested in a barotropic motion of the non-Newtonian bipolar
fluids .
We consider a special
case where the stress tensor is expressed in the form of
potentials depending on eii and 
.
We prove the
asymptotic stability of the rest state under the assumption
of the regularity of the potential forces.
Mathematics Subject Classification: 76N10 / 76A05 / 35Q35
Key words: Non-Newtonian compressible fluids / global existence / uniqueness / asymptotic stability / the rest state.
© EDP Sciences, SMAI, 2000
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