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Bipolar barotropic non-Newtonian fluid. (English) Zbl 0809.76001
Summary: The paper describes the special situation of barotropic non-Newtonian fluid, where stress tensor can be written in the form of potentials which depend on $$e_{ij}$$ and $$\left( {\partial e_{ij} \over \partial x_ k} \right)$$. For this case, we prove the existence and uniqueness of weak solution.

##### MSC:
 76A05 Non-Newtonian fluids 35Q35 PDEs in connection with fluid mechanics