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Sur une classe de fluides non newtoniens: Les solutions aqueuses de polymères. (On a class of non-Newtonian fluids: Aqueous solutions of polymers). (French) Zbl 0765.76002
The aim is to study a nonlinear evolution system of third order representing an approximation of Navier-Stokes equations. This system describes the motion of a viscous fluid to which a small quantity of polymers is added. The consequently main relaxation properties of the resulting fluid are completely changed. The basic tool is a suitable special basis to be used in the Galerkin method. In a special class of functions, we give a uniqueness criterium (but where the existence is not ensured).

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