## Young measure-valued solutions for non-Newtonian incompressible fluids.(English)Zbl 0840.35079

This paper deals with the problem of a nonlinear bipolar fluid, in which the higher-order viscosity vanishes, and the viscous part of the stress tensor satisfies a growth condition of the form $|\tau_{ij}|\leq C(1+ |e|)^{p- 1},\quad C> 0,$ $$e$$ the rate of strain tensor. The authors give some existence results of Young-measure valued solutions, which under certain limitations on $$p$$ depending on the space dimensions are also weak solutions. Uniqueness is also guaranteed for higher values of $$p$$.
Reviewer: F.Rosso (Firenze)

### MSC:

 35Q35 PDEs in connection with fluid mechanics 35D05 Existence of generalized solutions of PDE (MSC2000) 76A05 Non-Newtonian fluids
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### References:

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