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A note on the regularity of flows with shear-dependent viscosity

TítuloA note on the regularity of flows with shear-dependent viscosity
Publication TypeUnpublished
Year of Publication2012
AuthorsArada N
Series TitlePreprint
Palavras-chaveGeneralized Newtonian fluid, shear-dependent viscosity, strong solution
AbstractWe consider a non Newtonian fluid governed by stationary, incompressible Navier-Stokes equations with shear-dependent viscosity. Using a fixed point argument in an appropriate functional setting, we establish the existence of a strong solution for small and suitably regular data. Uniqueness results are obtained under similar conditions.
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2012/9_12.pdf