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Note on quasi-optimal error estimates for the pressure for shear-thickening fluids (2402.03056v1)
Published 5 Feb 2024 in math.NA and cs.NA
Abstract: In this paper, we derive quasi-optimal a priori error estimates for the kinematic pressure for a Local Discontinuous Galerkin (LDG) approximation of steady systems of $p$-Navier-Stokes type in the case of shear-thickening, i.e., in the case $p>2$, imposing a new mild Muckenhoupt regularity condition.