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Bipolar Isothermal Non-Newtonian Compressible Fluids

✍ Scribed by S̆ Matu s̆c̆; M. Medvid'ová-Luká c̆

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
271 KB
Volume
225
Category
Article
ISSN
0022-247X

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✦ Synopsis

The existence and uniqueness of a solution to isothermal non-Newtonian bipolar fluid is proved. We consider a special case, where the stress tensor is expressed in Ž . the form of potentials depending on e and Ѩ e rѨ x . The second part is devoted

to the problem of the stability of the rest state. It is proved that the perturbations of velocity and density tend to zero in appropriate norms along a chosen time sequence. Moreover, we obtain the asymptotic stability of the rest state under the assumption of the regularity of the potential forces.

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