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Bipolar Isothermal Non-Newtonian Compressible Fluids

By S. Matusu-Necasová and M. Medvidóvá-Lukácová

Abstract

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 the form of potentials depending on e ij and ( ). 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. Keywords: non-Newtonian compressible fluids, global existence, uniqueness, asymptotic stability, rest state AMS Classification 76N10, 76A05, 35Q35 1

Topics: non-Newtonian compressible fluids, global existence, uniqueness, asymptotic stability, rest state
Year: 2007
OAI identifier: oai:CiteSeerX.psu:10.1.1.19.5436
Provided by: CiteSeerX
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