Bipolar Barotropic Non-Newtonian Compressible Fluids

Šárka Matušu-Nečasová; Mária Medviďová-Lukáčová

ESAIM: Mathematical Modelling and Numerical Analysis (2010)

  • Volume: 34, Issue: 5, page 923-934
  • ISSN: 0764-583X

Abstract

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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 ( ∂ e i j ∂ x k ) . We prove the asymptotic stability of the rest state under the assumption of the regularity of the potential forces.

How to cite

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Matušu-Nečasová, Šárka, and Medviďová-Lukáčová, Mária. "Bipolar Barotropic Non-Newtonian Compressible Fluids." ESAIM: Mathematical Modelling and Numerical Analysis 34.5 (2010): 923-934. <http://eudml.org/doc/197517>.

@article{Matušu2010,
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. },
author = {Matušu-Nečasová, Šárka, Medviďová-Lukáčová, Mária},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Non-Newtonian compressible fluids; global existence; uniqueness; asymptotic stability; the rest state.; non-Newtonian compressible bipolar fluids; barotropic motion; stress tensor; asymptotic stability; regularity},
language = {eng},
month = {3},
number = {5},
pages = {923-934},
publisher = {EDP Sciences},
title = {Bipolar Barotropic Non-Newtonian Compressible Fluids},
url = {http://eudml.org/doc/197517},
volume = {34},
year = {2010},
}

TY - JOUR
AU - Matušu-Nečasová, Šárka
AU - Medviďová-Lukáčová, Mária
TI - Bipolar Barotropic Non-Newtonian Compressible Fluids
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 34
IS - 5
SP - 923
EP - 934
AB - 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.
LA - eng
KW - Non-Newtonian compressible fluids; global existence; uniqueness; asymptotic stability; the rest state.; non-Newtonian compressible bipolar fluids; barotropic motion; stress tensor; asymptotic stability; regularity
UR - http://eudml.org/doc/197517
ER -

References

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