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Bipolar Barotropic Non-Newtonian Compressible Fluids

Published online by Cambridge University Press:  15 April 2002

Šárka Matušu-Nečasová  and
Mária Medviďová-Lukáčová
Šárka Matušu-Nečasová
Affiliation:
Mathematical Institute of the Academy of Sciences, Žitná 25, 11567 Prague 1, Czech Republic.
Mária Medviďová-Lukáčová
Affiliation:
Institute of Analysis and Numerics, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39 106 Magdeburg, Germany. Institute of Mathematics, Faculty of Mechanical Engineering, Technical University of Brno, Technická 2, 616 39 Brno, Czech Republic.
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Abstract

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 $(\frac{\partial e_{ij}}{\partial x_{k}})$. We prove the asymptotic stability of the rest state under the assumption of the regularity of the potential forces.

Keywords

Non-Newtonian compressible fluidsglobal existenceuniquenessasymptotic stabilitythe rest state.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 34 , Issue 5 , September 2000 , pp. 923 - 934
Copyright
© EDP Sciences, SMAI, 2000

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