For the model of a nonlinear bipolar fluid, in which the highest order viscosity vanishes, and
the viscous part of the stress tensor satisfies a growth condition of the form the rate of strain …

A constitutive theory is formulated to describe the flow of viscous fluids: the theory of
multipolar fluids exhibits nonlinear relations among the stress tensors and spatial derivatives …

In this paper, we investigate the partial regularity of the generalized solutions (which are
called the suitable weak solutions) to the modified Navier–Stokes equations which …

The theory of multipolar materials is due to Green and Rivlin [14, 15], who considered the
constitutive equations for an elastic, nonviscous material; an early model for a bipolar uid …

Regularization of a non-Newtonian system in an unbounded channel: existence of a
maximal compact attractor - ScienceDirect Skip to main contentSkip to article Elsevier logo …

Fluid dynamics has attracted the attention of many mathematicians and engineers. The
NavierStokes equations are generally accepted as the correct governing equations for the …

We consider the regularity of weak solutions to the shear thinning fluids in R^ 3 R 3. Let u be
a weak solution in R^ 3 * (0, T) R 3×(0, T) and u=(u_ 1, u_ 2, 0) u~=(u 1, u 2, 0). It is proved …

In 1849 GG Stokes published a classical paper [Sto] in which he modeled the response of a
viscous incompressible fluid by a constitutive equation that has, ever since, been known as …

In the present paper, we intend to study the L2 decay rates for the solution to a class system
of non-Newtonian fluids in Rn. As we know, the motion of a continuous medium …

Serrin type regularity criterion for the shear thinning fluids via the velocity field - ScienceDirect
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