@Article{Berselli2020,
author = "Berselli, Luigi C. and Růžička, Michael",
title = "On the regularity of solution to the time-dependent p-Stokes system",
journal = "Opuscula Math.",
year = "2020",
volume = "40",
number = "1",
pages = "49--69",
doi = "https://doi.org/10.7494/OpMath.2020.40.1.49",
url = "https://doi.org/10.7494/OpMath.2020.40.1.49",
abstract = "In this paper we consider the time evolutionary \(p\)-Stokes problem in a smooth and bounded domain. This system models the unsteady motion or certain non-Newtonian incompressible fluids in the regime of slow motions, when the convective term is negligible. We prove results of space/time regularity, showing that first-order time-derivatives and second-order space-derivatives of the velocity and first-order space-derivatives of the pressure belong to rather natural Lebesgue spaces.",
keywords = "regularity, evolution problem, \(p\)-Stokes",
issn = "1232-9274"
}