Conditional quasi-optimal error estimate for a finite element discretization of the $p$-Navier-Stokes equations: The case $p>2$

In this paper, we derive quasi-optimal $\mathit{\text{a}}\mathit{\text{priori}}$ error estimates for the kinematic pressure for a Finite Element (FE) approximation of steady systems of $p$-Navier-Stokes type in the case of shear-thickening, $\mathit{\text{i.e.}}$, in the case $p>2$, imposing a new mild Muckenhoupt regularity condition.