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Bipolar Barotropic Non-Newtonian Compressible Fluids

Šárka Matušu-Nečasová, Mária Medviďová-Lukáčová (2010)

ESAIM: Mathematical Modelling and Numerical Analysis

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.

Bipolar barotropic nonnewtonian fluid

Šárka Matušů-Nečasová, Mária Medviďová (1994)

Commentationes Mathematicae Universitatis Carolinae

The paper describes the special situation of barotropic nonnewtonian fluid, where stress tensor can be written in the form of potentials which depend on e i j and ( e i j x k ) . For this case, we prove the existence and uniqueness of weak solution.

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