Bipolar Barotropic Non-Newtonian Compressible Fluids
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.
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